Advances in Topological Quantum Field Theory: Proceedings of the NATO Adavanced Research Workshop on New Techniques in Topological Quantum Field Theor

ISBN-13: 9781402027710 / Angielski / Miękka / 2005 / 354 str.

John M. Bryden

Opis

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.

Spis treści

Table of Contents Editorial Combinatorial Formulas for Cohomology of spaces of Knots V. Vassiliev On the Homology of Spaces of Long Knots; V. Tourtchine Some computations of Ohtsuki series: N. Jacoby and R. Lawrence From 3-moves to Lagrangian tangles and cubic skein modules; J. Przytycki On Spin and Complex Spin Borromean Surgeries; F. Deloup Khovanov homology: torsion and thickness; Marta M. Asaeda and Jozef II. Przytycki Khovanov Homology for Knots and Links up to 11 Crossings; D. Bar Natan. Perturbative Quantum Field Theory and L Algebras; L. lonescu A linking form conjecture for 3-manifolds; J. Bryden and F. Deloup Mappings of non-zero degree between 3-manifolds: a new obstruction; D. Rolfsen On braid groups, homotopy groups, and modular forms; F. Cohen A note on symplectic circle actions and Massey products; Z. Stipiei and A. Tralle Realization of Primitive Branched Coverings over Closed Surfaces; S.A.Bogatyi , D.L. Gonçalves, E.A. Kudryavtseva, H. Zieschang Cohomology Rings of Oriented Seifert Manifolds with mod p Coefficients; J. Bryden On cyclic covers of the Riemann sphere and a related class of curves; S. Kallel, D. Sjerve, Y. Song