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

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Preface
Conference web pages
 

Geometry & Topology Monographs 4 (2002)

DOI: 10.2140/gtm.2002.4

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 sl2 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