These are some articles by John C. Baez at UC Riverside
(baez@math.ucr.edu). They are obtainable by anonymous ftp from
math.ucr.edu, and are in the directory "baez."
For the amateur: to do this type "ftp math.ucr.edu." When the
FTP server asks for your name type "anonymous," and when it asks for
your password type "ident". Then type "cd baez" to get into the correct
directory. Then type "get X" to get the file named X. You can type
"ls" to list the contents of the directory, which are also listed below.
Here's what there is:
----------------------------------------------------------------------------
Popularizations:
braids.tex - a LaTeX file containing lectures on knot polynomials,
braids, anyons, r-commutative geometry, and lots of other neat things.
braids.ascii - an ASCII version of the same thing.
categories - a sketch of category theory and how it relates to quantization.
crackpot - the "crackpot index" for physicists.
lengths - a tour of 4 basic length scales in physics.
penrose - summary of a chat with Penrose.
preprint.info - information on how to get started with hep-th and gr-qc.
six - a tour of some amazing properties of the group of permutations of
6 elements, and its relation to the icosahedron.
spin.stat - a sketch of the proof of the spin-statistics theorem.
symmetries - an account of the appearance of symmetry groups in physics
tangles - a primer on the category of tangles.
-----------------------------------------------------------------
Serious Stuff:
ca.tex - a LaTeX file of the paper, "An algebraic approach to discrete
mechanics."
conn.tex - a LaTeX file of the paper, "Generalized measures in gauge
theory."
state.tex - a LaTeX file of the paper, "Diffeomorphism-invariant
generalized measures on the space of connections modulo gauge
transformations."
string.tex - a LaTeX file of the paper, "Strings, loops, knots and gauge
fields."
vas.tex - a LaTeX file of the paper, "Link invariants of finite type and
perturbation theory."
tang.tex - a LaTeX file of the paper, "Quantum gravity and the algebra
of tangles."
---------------------------------------------------------------------
"This Week's Finds in Mathematical Physics"
These describe papers or book I happened to find enjoyable, especially
ones that have not yet been published.
week
1) Syzygies among elementary string interactions in 2+1 dimensions,
by J. Scott Carter and Masahico Saito, Lett. Math. Phys. 23 (1991),
287-300.
On formulations and solutions of simplex equations, by J. Scott Carter and
Masahico Saito, preprint. (Carter is at
F4T3%USOUTHAL.bitnet@VM.TCS.Tulane.EDU.)
A diagrammatic theory of knotted surfaces, by J. Scott Carter and
Masahico Saito, preprint.
Reidemeister moves for surface isotopies and their interpretations as moves
to movies, by J. Scott Carter and Masahico Saito, preprint.
2) Knot theory and quantum gravity in loop space: a primer, by Jorge
Pullin, to appear in "Proc. of the Vth Mexican School of Particles and
Fields," ed. J. L. Lucio, World Scientific, Singapore, now available
as hep-th/9301028.
3) Time, measurement and information loss in quantum cosmology, by Lee
Smolin, preprint now available as gr-qc/9301016.
week2
1) Link invariants for intersecting loops, by Daniel Armand Ugon,
Rodolfo Gambini, and Pablo Mora, October 1992 preprint, available
from Gambini, Instituto de Fi'sica, Facultad de Ciencias,
Trista'n Narvaja 1674, Montevideo, Uruguay.
2) New points of view in knot theory, by Joan Birman, preprint, to
appear in the Bulletin of the AMS.
3) Link polynomials and a graphical calculus, by Louis Kauffman and
P. Vogel, Jour. of Knot Theory and its Ramifications, 1 (1992), 59-104.
4) Categorical physics, by Louis Crane, preprint available as
hep-th/9301061 in amstex.
A Categorical construction of 4d topological quantum field theories,
by Louis Crane and David Yetter, preprint available as hep-th/9301062 in
latex.
Hopf Categories and their representations, Louis Crane and Igor Frenkel,
draft version.
Categorification and the construction of topological quantum field theory,
Louis Crane and Igor Frenkel, draft version.
5) The origin of time asymmetry, by S W Hawking, R Laflamme and G W Lyons,
preprint available as gr-qc/9301017, in tex.
week3
1) On the Vassiliev Knot Invariants by Dror Bar-Natan, Harvard
University ``pre-preprint.''
2) Mathematical problems of non-perturbative quantum general
relativity, by Abhay Ashtekar, lectures delivered at the 1992 Les
Houches summer school on Gravitation and Quantization, December 2, 1992,
available as Syracuse University physics preprint SU-GP-92/11-2.
week4
1) Self-organized criticality in Monte Carlo simulated ecosystems, by
R. Sole, D. Lopez, M. Ginovart and J. Valls, Phys. Lett. A172 (1992), p.
56.
2) There are no quantum jumps, nor are there particles!, by H. D. Zeh,
Phys. Lett. A173, p. 189
3) Braided monoidal 2-categories, 2-vector spaces and Zamolodchikov
tetrahedra equations, by M. M. Kapranov and V. A. Voevodsky.
Preliminary incomplete version, September 1991. (Kapranov is at
kapranov@chow.math.nwu.edu, and Voevodsky is at vladimir@math.ias.edu.)
week5
1) Indecomposable restricted representations of quantum sl_2, Vyjanathi
Chari and Alexander Premet, University of California at Riverside
preprint.
2) Representations of the quantized function algebras, 2-categories
and Zamolodchikov tetrahedra equations, by David Kazhdan and Iakov
Soibelman, Harvard University preprint.
3) A note on simplicial dimension shifting, Adrian Ocneanu, preprint,
available in AMSLaTeX as hep-th/9302028.
4) The new configuration space for gravity: the spectrum of the algebra
of SL(2,C)-holonomy functionals, by Abhay Ashtekar and Jerzy
Lewandowski, draft version.
week6
1) Quantum cosmology, talk given at Texas/Pascos 1992 at Berkeley by
Alexander Vilenkin, preprint available in TeX form as gr-qc/9302016
2) Finite, diffeomorphism invariant observables in quantum gravity,
by Lee Smolin, preprint available in LaTeX form as gr-qc/9302011.
week7
1) Mathematical problems of non-perturbative quantum general
relativity (lectures delivered at the 1992 Les Houches summer school on
Gravitation and Quantization), by Abhay Ashtekar, 87 pp, Plain TeX,
available as gr-qc/9302024.
2) Lectures on Non-perturbative Canonical Gravity, by Abhay Ashtekar,
World Scientific Press, 1991. (ISBN 981-02-0573-2 or for paperback, ISBN
981-02-0574-0. This can be ordered by calling World Scientific at
1-800-227-7562.)
3) We are not stuck with gluing, by David Yetter and Louis Crane, preprint
available as hep-th/9302118 in latex form, 2 pages.
4) The initial value problem in light of Ashtekar's variables, by
R. Capovilla, J. Dell and T. Jacobson, preprint available as
gr-qc/9302020, 15 pages.
5) Combinatorial expression for universal Vassiliev link invariant, by
Sergey Piunikhin, preprint available as hep-th/9302084
week8
1) Map coloring and the vector cross product, by Louis Kauffman, J. Comb.
Theory B, 48 (1990) 45.
Map coloring, 1-deformed spin networks, and Turaev-Viro
invariants for 3-manifolds, by Louis Kauffman, Int. Jour. of Mod. Phys.
B, 6 (1992) 1765 - 1794.
An algebraic approach to the planar colouring problem, by Louis Kauffman
and H. Saleur, Yale University preprint YCTP-P27-91, November 8, 1991.
2) Knots and physics, by Louis Kauffman, Proc. Symp. Appl. Math. 45
(1992), 131-246.
Spin networks, topology and discrete physics, by Louis Kauffman,
University of Illinois at Chicago preprint.
Vassiliev invariants and the Jones polynomial, by Louis Kauffman,
University of Illinois at Chicago preprint.
Gauss codes and quantum groups, by Louis Kauffman, University of
Illinois at Chicago preprint.
Fermions and link invariants, by Louis Kauffman
and H. Saleur, Yale University preprint YCTP-P21-91, July 5, 1991.
State models for link polynomials, by Louis Kauffman, L'Enseignement
Mathematique, 36 (1990), 1 - 37.
The Conway polynomial in R^3 and in thickened surfaces: a new
determinant formulation, by F. Jaeger, Louis Kauffman
and H. Saleur, preprint.
week9
1) Surgical invariants of four-manifolds, by Boguslaw Broda, preprint
available as hep-th/9302092.
2) Minisuperspaces: symmetries and quantization, by Abhay Ashtekar,
Ranjeet S. Tate and Claes Uggla Syracuse University preprint
SU-GP-92/2-5, 14 pages, available in latex form as gr-qc/9302026
Minisuperspaces: observables and quantization, Abhay Ashtekar,
Ranjeet S. Tate and Claes Uggla Syracuse University preprint
SU-GP-92/2-6, 34 pages, available in latex form as gr-qc/9302027
3) Unique determination of an inner product by adjointness relations in
the algebra of quantum observables, by Alan D. Rendall,
Max-Planck-Institut fuer Astrophysik preprint, 10 pages,
available as gr-qc/9303026.
4) Thawing the frozen formalism: the difference between observables and
what we observe, by Arlen Anderson, preprint available in latex form as
gr-qc/9211028.
5) The extended loop group: an infinite dimensional manifold associated
with the loop space, by Cayetano Di Bartolo, Rodolfo Gambini and Jorge
Griego, 42 pages, preprint available as gr-qc/9303010.
week10
1) Beyond Einstein - is space loopy? by Marcia Bartusiak, Discover,
April 1993.
2) Vassiliev invariants contain more information than all knot
polynomials, by Sergey Piunikhin, preprint. (Piunikhin is at
serguei@math.harvard.edu)
Turaev-Viro and Kauffman-Lins invariants for 3-manifolds coincide, by
Sergey Piunikhin, Journal of Knot Theory and its Ramifications, 1 (1992)
105 - 135.
Different presentations of 3-manifold invariants arising in rational
conformal field theory, by Sergey Piunikhin, preprint.
Weights of Feynman diagrams, link polynomials and Vassiliev knot
invariants, by Sergey Piunikhin, preprint.
Reshetikhin-Turaev and Crane-Kohno-Kontsevich 3-manifold invariants
coincide, by Sergey Piunikhin, preprint.
3) Bibliography of publications related to classical and quantum
gravity in terms of the Ashtekar variables, by Bernd Bruegmann, 14 pages
(LaTeX, 1 figure), available as gr-qc/9303015.
4) Surgical invariants of four-manifolds, by Boguslaw Broda, preprint
available as hep-th/9302092. (Revisited - see "week9")
week11
1) Unique determination of an inner product by adjointness relations
in the algebra of quantum observables, by Alan D. Rendall, 10 pages, now
available as gr-qc/9303026.
2) An algebraic approach to the quantization of constrained systems:
finite dimensional examples, by Ranjeet S. Tate, Syracuse University
physics department PhD dissertation, August 1992, SU-GP-92/8-1. (Tate
is now at rstate@cosmic.physics.ucsb.edu, but please don't ask him for
copies unless you're pretty serious, because it's big.)
week12
1) Canonical quantum gravity, by Karel Kuchar, preprint in LaTeX form,
35 pages, available as gr-qc/9304012.
2) 2-categories and 2-knots, by John Fischer, preprint, last revised Feb.
6 1993. (Fischer is at fischer-john@math.yale.edu)
3) A new discretization of classical and quantum general relativity, by
Mark Miller and Lee Smolin, 22 pages in LaTeX form, available as
gr-qc/9304005.
4) Higher algebraic structures and quantization, by Dan Freed,
preprint, December 18, 1992, available as hep-th/9212115.
week13
1) Elliptic Curves by Anthony W. Knapp, Mathematical Notes, Princeton
University Press, 1992.
2) Closed string field theory, strong homotopy Lie algebras and the
operad actions of moduli spaces, by Jim Stasheff, preprint available as
hep-th/9304061.
3) A geometrical presentation of the surface mapping class group and
surgery, by Sergey Matveev and Michael Polyak, preprint.
4) Invariants of 3-manifolds and conformal field theories, by Micheal
Polyak, preprint.
week14
1) Skein theory and Turaev-Viro invariants, by Justin Roberts, Pembroke
College preprint, April 14, 1993 (Roberts is at J.D.Roberts@pmms.cam.ac.uk)
2) The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop
representation basis, 16 pages in LaTeX, Friday April 30, available as
hep-th/9304164.
3) Diffeomorphism-invariant generalized measures on the space of
connections modulo gauge transformations, by John Baez, to appear in the
proceedings of the Conference on Quantum Topology, Manhattan, Kansas,
May 8, 1993, available as state.tex from pub/fycfung/baezpapers
(and later in hep-th).
4) Completeness of Wilson loop functionals on the moduli space of
SL(2,C) and SU(1,1)-connections, Abhay Ashtekar and Jerzy Lewandowski,
Plain TeX, 7 pages, available as gr-qc/9304044.
5) An algebraic approach to the quantization of constrained systems: finite
dimensional examples, by Ranjeet S. Tate, (Ph.D. Dissertation, Syracuse
University), 124 pages, LaTeX (run thrice before printing), available as
gr-qc/9304043.
6) SU(2) QCD in the path representation, by Rodolfo Gambini and Leonardo
Setaro, LaTeX 37 pages (7 figures included), available as
hep-lat/9305001.
week15
1) Closed string field theory - an introduction, by Barton Zwiebach,
preprint available as hep-th/9305026 (requires the phyzzx macros to print;
these macros are also available from hep-th; see below).
2) Two-dimensional Yang-Mills theories are string theories, by S.G.
Naculich, H.A. Riggs, and H.J. Schnitzer, 14 pages, preprint available
in latex form as hep-th/9305097.
week16
1) Structure of Topological Lattice Field Theories in Three Dimensions, by
Stephen-wei Chung, Masafumi Fukuma and Alfred Shapere, preprint,
available as hep-th/9305080 (make sure to get the pictures if possible)!
2) C. Bachas and P. M. S. Petropoulos, Comm. Math. Phys. 152 (1993) 191.
3) Lattice topological field theory in two-dimensions, by M. Fukuma, S.
Hosono and H. Kawai, preprint available as hep-th/921254.
4) Six ways to quantize (2+1)-dimensional gravity, by Steven Carlip
(carlip@nsfitp.itp.ucsb.edu), 21 pages, preprint available in LaTeX form as
gr-qc/9305020.
5) An illustration of 2+1 gravity loop transform troubles, by Donald
Marolf (MAROLF@SUHEP.PHY.SYR.EDU), 6 pages, preprint available in LaTeX
form as gr-qc/9305015.
6) G. Ponzano and T. Regge: in Bloch, F. (ed.), Spectroscopic and Group
Theoretical Methods in Physics, Amsterdam: North-Holland 1968.
7) E. Witten, Nucl. Phys. B311 (1988), 46.
8) State sum invariants of 3-manifolds and quantum 6j-symbols, by V. G. Turaev
and O. Y. Viro, Topology 31 (1992), 865.
9) H. Ooguri, Mod. Phys. Lett. A7 (1992), 2799.
10) Actions for Gravity, with Generalizations: A Review, by Peter
Peldan (tfepp@fy.chalmers.se), 61 pages, preprint available as gr-qc/9305011
week17
1) ``Theoretical Mathematics'': Toward a cultural synthesis of
mathematics and theoretical physics, by Arthur Jaffe and Frank Quinn, to
appear in the July 1993 Bulletin of the AMS (available by
gopher at e-math.ams.com, but don't ask me how).
2) New Scientific Applications of Geometry and Topology, ed. DeWitt L.
Sumner, Proc. Symp. Appl. Math. 45, published by the AMS.
3) Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, by
Louis Kauffman and Sostenes Lins, to be published by Princeton U. Press.
4) 12j-symbols and four-dimensional quantum gravity, by M. Carfora, M.
Martellini (martellini@milano.infn.it), and A. Marzuoli, Dipartimento di
Fisica, Universita di Roma "La Sapienza" preprint.
5) Selected topics in quantum groups, by Y. S. Soibelman
(soibel@math.harvard.edu), Lectures for the European School of Group
Theory, Harvard University preprint.
6) Braids and movies, by J. Scott Carter (carter@mathstat.usouthal.edu)
and Masahico Saito, preprint.
7) Combinatorial Invariants from Four Dimensional Lattice Models: II, by
Danny Birmingham and Mark Rakowski, preprint available in LaTeX form as
hep-th/9305022.
8) A note on the four-dimensional Kirby calculus, by Boguslaw Broda,
preprint, 5 pages in TeX available as hep-th/9305101.
9) Solutions to the Wheeler DeWitt Constraint of Canonical Gravity
Coupled to Scalar Matter Fields, by H.-J. Matschull, preprint, 7 pages
in LaTeX available as gr-qc/9305025.
week18
1) Strings, loops, knots, and gauge fields, by John Baez, preprint
available in LaTeX form as hep-th/9309067, 34 pages.
week19
1) Evaluating the Crane-Yetter Invariant, by Louis Crane, Louis H. Kauffman,
David N. Yetter, 4 pages, AMSTeX, preprint available as hep-th/9309063.
2) On the Classicality of Broda's SU(2) Invariants of 4-Manifolds, by
Louis Crane, Louis H. Kauffman, David N. Yetter, 4 pages LaTeX version
2.09, preprint available as hep-th/9309102.
3) Exactly soluble diffeomorphism-invariant theories, by Gary Horowitz,
Comm. Math. Phys., 125 (1989) 417-437.
week20
1) Sphere Packings, Lattices and Groups, J. H. Conway and N. J. A.
Sloane, second edition, Grundlehren der mathematischen Wissenschaften
290, Springer-Verlag, 1993. ISBN 0-387-97912-3.
2) Vertex Operator Algebras and the Monster, by Igor Frenkel, James
Lepowsky, and Arne Meurman, Academic Press, 1988.
week21
1) Knotted surfaces, braid movies, and beyond, by J. Scott Carter and M.
Saito, to appear in Knots and Quantum Gravity, ed. John Baez, Oxford U.
Press.
2) How Surfaces Intersect in Space: An Introduction to Topology, by J.
Scott Carter, World Scientific Press, Singapore 1993. ISBN 981-02-1050
3) A Topological Picturebook, by George Francis, Springer-Verlag, 1987.
week22
1) The Four-Color Problem: Assault and Conquest, by Thomas L. Saaty and
Paul C. Kainen, McGraw-Hill, 1977, ISBN 0-07-054382-8.
2) Map coloring and the vector cross product, by Louis Kauffman, J. Comb.
Theory B, 48 (1990) 45.
Map coloring, 1-deformed spin networks, and Turaev-Viro
invariants for 3-manifolds, by Louis Kauffman, Int. Jour. of Mod. Phys.
B, 6 (1992) 1765 - 1794.
An algebraic approach to the planar colouring problem, by Louis Kauffman
and H. Saleur, Yale University preprint YCTP-P27-91, November 8, 1991.
3) Every Planar Map is Four Colorable, by Kenneth Appel and Wolfgang
Haken, Contemporary Mathematics (American Mathematical Society), v. 98,
1989.
4) Applications of negative dimensional tensors, by Roger Penrose, in
Combinatorial Mathematics and its Applications, ed. D. J. A. Welsh,
Academic Press, 1971.
week23
1) Topological quantum invariants and the Andrews-Curtis conjecture
(Progress report), by Frank Quinn, preprint, Sept. 1993.
2) Lectures on axiomatic topological quantum field theory, by Frank
Quinn, to appear in the proceedings of the Park City Geometry Institute.
3) On the Andrews-Curtis conjecture and related problems, by Wolfgang
Metzler, in Combinatorial Methods in Topology and Algebraic Geometry,
Contemporary Mathematics 44, AMS, 1985.
4) Elements of Homotopy Theory, by George W. Whitehead, Springer-Verlag,
Berlin, 1978. ISBN 0-387-90336-4
5) S. Gelfand and D. Kazhdan, Examples of tensor categories, Invent.
Math. 109 (1992) 595-617.
6) Knots and Quantum Gravity, ed. John Baez, Oxford University Press (to
appear).
The Loop Formulation of Gauge Theory and Gravity, by Renate Loll
Representation Theory of Analytic Holonomy C* Algebras, by Abhay
Ashtekar and Jerzy Lewandowski (currently available as gr-qc/9311010)
The Gauss Linking Number in Quantum Gravity, by Rodolfo Gambini and Jorge
Pullin (currently available as gr-qc/9310025)
Vassiliev Invariants and the Loop States in Quantum Gravity, by Louis H.
Kauffman (soon to be on gr-qc)
Geometric Structures and Loop Variables in (2+1)-Dimensional Gravity,
by Steven Carlip (currently available as gr-qc/9309020)
From Chern-Simons to WZW via Path Integrals, by Dana S. Fine
Topological Field Theory as the Key to Quantum Gravity, by Louis Crane
(currently available as hep-th/9308126)
Strings, Loops, Knots and Gauge Fields, by John Baez (currently
available as hep-th/9309067)
BF Theories and 2-knots, by Paolo Cotta-Ramusino and Maurizio Martellini
Knotted Surfaces, Braid Movies, and Beyond, by J. Scott Carter and
Masahico Saito
week24
1) Prima facie questions in quantum gravity, by Chris Isham, lecture at
Bad Honeff, September 1993, preprint available in LaTeX form as
gr-qc/9310031.
2) Lectures on 2d gauge theories: topological aspects and path integral
techniques, by Matthias Blau and George Thompson, 70 pages, preprint
available in LaTeX form as hep-th/9310144.
3) Semi-classical limits of simplicial quantum gravity, by J. W. Barrett
and T. J. Foxon, preprint available as gr-qc/9310016.
4) Wave function of the universe, by J. B. Hartle and S. W. Hawking,
Phys. Rev. D28 (1983), 2960.
5) Generalized measures in gauge theory, by John Baez, available in
LaTeX as hep-th/9310201.
week25
1) Loop Spaces, Characteristic Classes and Geometric Quantization, by
Jean-Luc Brylinski, Birkhauser, Boston, 1993. ISBN 0-176-3644-7
2) Quantization and unitary representations, by Bertram Kostant, in
Lectures in Modern Analysis and Applications III, Springer-Verlag
Lecture Notes in Mathematics 170 (1970), 87-208.
3) Vortices in He II, current algebras and quantum knots, by M. Rasetti
and T. Regge, Physica 80A (1975) 217-233.
4) A geometric approach to quantum vortices, by V. Penna and M. Spera,
J. Math. Phys. 30 (1989), 2778-2784.
week26
1) Cosmology, time's arrow, and that old double standard, by Huw Price,
26 pages, in LaTeX with 3 figures appended as postscript file, available
as gr-qc/9310022. (Written for Time's Arrows Today Conference, UBC,
Vancouver, June 1992; forthcoming in Savitt, S., ed., "Time's Arrows
Today," Cambridge University Press, 1994.)
2) The Physical Basis of the Direction of Time, by H. D. Zeh, Second
Edition, Springer-Verlag, 1992. ISBN 3-540-54884-X or 0-387-54884-X
3) Chromodynamics and gravity as theories on loop space, by R.
Loll, 56 pages, 10 figures (postscript, compressed and uuencoded), TeX,
available as hep-th/9309056.
4) Intersecting braids and intersecting knot theory, by Daniel Armand-Ugon,
Rodolfo Gambini and Pablo Mora, Latex 14 pages (6 figures included),
available as hep-th/9309136.
week27
1) Conceptual Problems of Quantum Gravity, edited by Abhay Ashtekar and
John Stachel, based on the proceedings of the 1988 Osgood Hill
Conference, 15-19 May 1988, Birhaueser, Boston, 1991.
2) Quantum measurements and the environment-induced transition from
quantum to classical, by Wojciech H. Zurek, the volume above.
Loss of quantum coherence for a damped oscillator, by W. G.
Unruh, the volume above.
3) Is there incompatibility between the ways time is treated in
general relativity and in standard quantum mechanics?, by Carlo
Rovelli, the volume above.
The problem of time in canonical quantization of relativistic
systems, by Karel V. Kuchar, the volume above.
Time and prediction in quantum cosmology, by James B. Hartle, the
volume above.
Space and time in the quantum universe, by Lee Smolin, the volume
above.
4) Old problems in the light of new variables, by Abhay Ashtekar,
the volume above.
Loop representation in quantum gravity, by Carlo Rovelli, the
volume above.
Nonperturbative quantum gravity via the loop representation, by
Lee Smolin, the volume above.
week28
1) An Introduction to Teichmueller spaces, by Y. Imayoshi and M.
Taniguchi, Springer-Verlag, 1991, ISBN 4-431-70088-9.
2) An introduction to the moduli space of curves, by Joe Harris, in
Mathematical Aspects of String Theory (proceedings of a conference at UC
San Diego in 1986), ed. S. T. Yau, World Scientific Press, 1987, ISBN
9971-50-274-7.
3) The cohomology of the moduli space of curves, by John L. Harer, in
Theory of Moduli (lectures given at the 3rd 1985 session of C.I.M.E. at
Mondecatini Terme, Italy), ed. E. Sernesi, Springer-Verlag Lecture Notes
in Mathematics 1337, 1988, ISBN 0-387-50080-4.
4) A presentation of the mapping class group of a closed, orientable
surface, by A. Hatcher and W. Thurston, Topology 19 (1980), 221-237.
5) A simple presentation for the mapping class group of an orientable
surface, Israel J. Math. 45 (1983), 157-174.
6) Braids, Links, and Mapping Class Groups, by Joan S. Birman, Annals of
Mathematics Studies no. 82, Princeton University Press, 1974.
7) Universal constructions in Teichmueller theory, by R. C. Penner, Adv.
Math. 98 (1993), 143-215.
8) Classical and quantum conformal field theory, by G. Moore and S.
Seiberg, Comm. Math. Phys. 123 (1989) 177-254
9) 2-d physics and 3-d topology, by Louis Crane, Comm. Math. Phys. 135
(1991) 615-640.
week29
1) On algebras and triangle relations, by Ruth J. Lawrence, to appear in
Proc. Top. & Geom. Methods in Field Theory (1992), eds. J. Mickelsson and O.
Pekonen, World Scientific, Singapore.
A presentation for Manin and Schechtman's higher braid groups, by R. J.
Lawrence, available as MSRI preprint 04129-91.
Triangulations, categories and extended topological field theories, by
R. J. Lawrence, in Quantum Topology, eds L. Kauffman and R. Baadhio,
World Scientific, Singapore, 1993.
Algebras and triangle relations, by R. J. Lawrence, Harvard U. preprint.
2) Coherence for tricategories, by R. Gordon, A. J. Power, and R.
Street, preprint, 81 pages.
3) Formal Category Theory: Adjointness for 2-categories, by John W.
Gray, Lecture Notes in Mathematics 391, Springer-Verlag, New York, 1974. ISBN
3-540-06830-9.
Coherence for the tensor product of 2-categories, and braid groups, in
Algebras, Topology, and Category Theory, eds. A. Heller and M. Tierney,
Academic Press, New York, 1976, pp. 63-76.
4) On pentagon and tetrahedron equations, by J. M. Maillet, preprint
available in LaTeX form as hep-th/9312037.
5) Homologically twisted invariants related to (2+1)- and (3+1)-dimensional
state-sum topological quantum field theories, by David N. Yetter,
preprint, 6 pages, available in LaTeX form as hep-th/9311082.
week30
1) QED and the Men Who Made It: Dyson, Feynman, Schwinger and Tomonaga,
by Silvan S. Schweber, Princeton Series in Physics, Princeton U. Press,
784 pages, available May 1994. Paperback: ISBN 0-691-03327-3 ($39.50).
2) The Music of the Heavens: Kepler's Harmonic Astronomy, by Bruce
Stephenson, Princeton U. Press, 296 pages, available July 1994. Cloth:
ISBN 0-691-03439-7 ($39.50).
Kepler's Physical Astronomy, by Bruce Stephenson, Princeton U. Press,
218 pages, paperback available June 1994. ISBN 0-691-03652-7 ($14.95).
3) Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, by
Louis Kauffman and Sostenes Lins, Annals of Mathematics Studies No. 133,
Princeton U. Press, 304 pages, available July 1994. Paperback: ISBN
0-691-03640-3 ($22.50).
4) The physical hamiltonian in quantum gravity, by C. Rovelli and L.
Smolin, 11 pages, preprint available in LaTeX form as gr-qc/9308002.
Fermions in quantum gravity, by H. A. Marales-Tecotl and C. Rovelli,
37 pages, preprint available in LaTeX form as gr-qc/9401011.
5) Extended loops: a new arena for nonperturbative quantum gravity,
by C. Di Bartolo, R. Gambini, J. Griego and J. Pullin, 12 pages,
preprint available in Revtex form as gr-qc/9312029.
6) Ashtekar variables in classical general relativity, by Domenico
Giulini, 43 pages, preprint available in TeX form as gr-qc/9312032.
week31
1) Possible implications of the quantum theory of gravity, by Louis
Crane, 5 pages in LaTeX format, available as hep-th/9402104.
2) S. W. Hawking, Phys. Rev. D13, 191 (1976).
3) Do Black Holes Destroy Information? by J. Preskill, Caltech
report CALT-68-1819, available as hep-th/9209058, Sept. 1992.
4) Black hole information, by Don Page, review lecture to be published
in Proceedings of the 5th Canadian Conference on General Relativity and
Relativistic Astrophysics, University of Waterloo, 13--15 May, 1993},
edited by R. B. Mann and R. G. McLenaghan (World Scientific, Singapore,
1994), now available in LaTeX form as hep-th/9305040.
5) Some Speculations about Black Hole Entropy in String Theory,
Leonard Susskind, 11 pages in AMSTeX, available as hep-th/9309145.
Black hole entropy in canonical quantum gravity and superstring
theory, by L. Susskind and J. Uglum, 29 pages, available as hep-th/9401070.
6) Black hole evaporation without information loss, by C.R. Stephens, G.
't Hooft and B. F. Whiting, 35 pages in TeX format, 3 figures in
postscript, available as gr-qc/9310006.
7) Complementarity in Wormhole Chromodynamics, by Hoi-Kwong Lo, Kai-Ming
Lee, and John Preskill, 12 pages and 2 figures, phyzzx macros required,
available as hep-th/9308044.
8) "No Hair" Theorems -- Folklore, Conjectures, Results, by Piotr T.
Chrusciel, Garching preprint MPA 792, 30 pages available in LaTeX form
as gr-qc/9402032.
9) On uniqueness in the large of solutions of Einstein's equations
("Strong cosmic censorship"), by Piotr T. Chrusciel, in Mathematical
Aspects of Classical Field Theory, Contemp. Math. 132, eds. Gotay,
Marsden and Moncrief, AMMS, Rhode Island, 1992, pp. 235-274.
week32
1) On quantum mechanics, by Carlo Rovelli, uuencoded PostScript file, 42
pages available as hep-th/9403015.
2) Adjointness relations as a criterion for choosing an inner product,
by Alan Rendall, gr-qc/9403001.
3) Gromov-Witten classes, quantum cohomology, and enumerative geometry,
by M. Kontsevich, Yu. Manin, hep-th/9402147.
week33
1) Gauge Fields, Knots and Gravity, by John Baez and Javier de
Muniain, World Scientific Press, to appear in summer 1994.
2) Quantum Theory: Concepts and Methods, by Asher Peres,
Kluwer Academic Publishers, 1994, ISBN 0-7923-2549-4.
3) Loop representations, by Bernd Bruegmann, Max Planck Institute
preprint, available as gr-qc 9312001.
4) The fate of black hole singularities and the parameters of the standard
models of particle physics and cosmology, by Lee Smolin, available in
LaTeX format as gr-qc/9404011.
week34
1) Algorithms for quantum computation: discrete log and factoring,
extended abstract by Peter Shor.
2) Simulating physics with computers, by Richard Feynman,
International Journal of Theoretical Physics, Vol. 21, nos. 6/7,
pp. 467--488 (1982).
3) Quantum mechanical Hamiltonian models of Turing machines, by P.
Benioff J. Stat. Phys., Vol. 29, pp. 515--546 (1982).
Quantum theory, the Church--Turing principle and the universal quantum
computer, by D. Deutsch, Proc. R. Soc. Lond., Vol. A400, pp. 96--117
(1985).
Quantum computational networks, by D. Deutsch, Proc. R. Soc. Lond.,
Vol. A425, pp. 73--90 (1989).
Rapid solution of problems by quantum computation, by D. Deutsch
and R. Jozsa, Proc. R. Soc. Lond., Vol. A439, pp. 553--558 (1992).
Quantum complexity theory, E. Bernstein and U. Vazirani,
Proc. 25th ACM Symp. on Theory of Computation, pp. 11--20
(1993).
The quantum challenge to structural complexity theory, A. Berthiaume and
G. Brassard, Proc. 7th IEEE Conference on Structure in Complexity
Theory (1992).
Quantum circuit complexity, by A. Yao, Proc. 34th IEEE Symp. on
Foundations of Computer Science, 1993.
4) The Chern-Simons invariant as the natural time variable for classical
and quantum cosmology, by Lee Smolin and Chopin Soo, 16 pages in LaTeX
format, available as gr-qc/9405015.
5) Symplectic geometry, a series of lectures by Mikhail Gromov, compiled
by Richard Brown, edited by Robert Miner (lena@math.umd.edu).
week35
1) Pursuing stacks (A la poursuite des champs), 1983 letter from Alexandre
Grothendieck to Daniel Quillen, 593 pages, apparently available only
from someone who wants to copy 593 pages for you --- i.e., not me.
2) J. Benabou, Introduction to bicategories, Lect. Notes in Math., vol.
47, Berlin, Springer-Verlag, 1968, pp. 1-71.
3) Selected bibliography on higher-dimensional algebra.
week36
1) Three-dimensional BF theories and the Alexander--Conway invariant of
knots, by A. S. Cattaneo, P. Cotta-Ramusino, and M. Martellini; 32 pages
in LaTeX format (figures available upon request), available as
hep-th/9407070.
2) B^F theory and flat spacetimes, by Henri Waelbroeck, 21 pages in
LaTeX format, available as gr-qc/9311033.
3) A Hamiltonian formulation of topological gravity, by Henri Waelbrock
and J. A. Zapata, 15 pages available in LaTeX format as gr-qc/9311035.
4) Topological Yang-Mills symmetry, by L. Baulieu and I. M. Singer,
Nucl. Phys. (Proc. Suppl.) B5 (1988) 12-19.
5) On quantum gauge theories in two dimensions, by Edward Witten, Comm.
Math. Phys. 141 (1991) 153-209.
6) Topological gauge theories of antisymmetric tensor fields,
by M. Blau and G. Thompson, Ann. Phys. 205 (1991) 130-172.
--------------------
This stuff should all be in /usr/spool/ftp/baez at math.ucr.edu, aka
ucrmath.ucr.edu.