Advances in Topological Quantum Field Theory

✍ Scribed by V. A. Vassiliev (auth.), John M. Bryden (eds.)

• Publisher: Springer Netherlands
• Year: 2004
• Tongue: English
• Leaves: 352
• Series: NATO Science Series 179
• Edition: 1
• Category: Library

✦ Synopsis

This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on "New Techniques in Topological Quantum Field Theory". This conference brought together specialists from a number of different fields all related to Topological Quantum Field Theory. The theme of this conference was to attempt to find new methods in quantum topology from the interaction with specialists in these other fields.

The featured articles include papers by V. Vassiliev on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by Shumakovitch. Moreover, there are articles on more classical topics related to manifolds and braid groups by such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.

✦ Table of Contents

Front Matter....Pages i-vii
Combinatorial Formulas for Cohomology of Spaces of Knots....Pages 1-21
On the Homology of Spaces of Long Knots....Pages 23-52
Some Computations of Ohtsuki Series....Pages 53-70
From 3-moves to Lagrangian Tangles and Cubic Skein Modules....Pages 71-125
On Spin and Complex Spin Borromean Surgeries....Pages 127-133
Khovanov Homology: Torsion and Thickness....Pages 135-166
Khovanov Homology for Knots and Links with up to 11 Crossings....Pages 167-241
Perturbative Quantum Field Theory and L∞-algebras....Pages 243-252
A Linking Form Conjecture for 3-manifolds....Pages 253-265
Mappings of Non-zero Degree between 3-manifolds: a New Obstruction....Pages 267-273
On Braid Groups, Homotopy Groups, and Modular Forms....Pages 275-288
A Note on Symplectic Circle Actions and Massey Products....Pages 289-295
Realization of Primitive Branched Coverings Over Closed Surfaces....Pages 297-316
Cohomology Rings of Oriented Seifert Manifolds with mod ps Coefficients....Pages 317-326
On Cyclic Covers of the Riemann Sphere and a Related Class of Curves....Pages 327-353

✦ Subjects

Manifolds and Cell Complexes (incl. Diff.Topology); Group Theory and Generalizations; Topology; Algebraic Topology