Volume 4 (2002)
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Invariants of knots and 3–manifolds (Kyoto 2001)
Editors: Tomotada Ohtsuki, Toshitake Kohno, Thang Le, Jun Murakami, Justin Roberts and Vladimir Turaev
Preface
Conference web pages
DOI:
10.2140/gtm.2002.4
Contents
Bracelets and the Goussarov Filtration of the Space of Knots
1
Dror Bar-Natan
QHI, 3–manifolds scissors congruence classes and the volume conjecture
13
Stephane Baseilhac and Riccardo Benedetti
A homological definition of the Jones polynomial
29
Stephen Bigelow
Periodicity of Goussarov–Vassiliev knot invariants
43
Stavros Garoufalidis
On the quantum sl
2
invariants of knots and integral homology spheres
55
Kazuo Habiro
Quantum invariants of Seifert 3–manifolds and their asymptotic expansions
69
Soren Kold Hansen and Toshie Takata
Polynomial invariants and Vassiliev invariants
89
Myeong-Ju Jeong and Chan-Young Park
Knot invariants derived from quandles and racks
103
Seiichi Kamada
p–Modular TQFT's, Milnor torsion and the Casson–Lescop invariant
119
Thomas Kerler
Loop spaces of configuration spaces and finite type invariants
143
Toshitake Kohno
A surgery formula for the 2–loop piece of the LMO invariant of a pair
161
Andrew Kricker
On configuration space integrals for links
183
Christine Lescop
Matrix-tree theorems and the Alexander–Conway polynomial
201
Gregor Masbaum
Cubic complexes and finite type invariants
215
Sergei Matveev and Michael Polyak
Power sums and Homfly skein theory
235
Hugh R Morton
Asymptotics and 6j–symbols
245
Justin Roberts
Generalisations of Rozansky–Witten invariants
263
Justin Roberts and Justin Sawon
(2+1)–dimensional topological quantum field theory with a Verlinde basis and Turaev–Viro–Ocneanu invariants of 3–manifolds
281
Nobuya Sato and Michihisa Wakui
Torsions of 3–manifolds
295
Vladimir Turaev
On the potential functions for the hyperbolic structures of a knot complement
303
Yoshiyuki Yokota
Skein module deformations of elementary moves on links
313
Jozef H Przytycki
The algebra of knotted trivalent graphs and Turaev's shadow world
337
Dylan P Thurston
Some computational results on mod 2 finite-type invariants of knots and string links
363
Theodore Stanford
Problems on invariants of knots and 3–manifolds
377
Tomotada Ohtsuki
© Copyright 2004 Geometry & Topology Monographs. All rights reserved.