Advances in Topological Quantum Field Theory - Proceedings of the NATO Adavanced Research Workshop on New Techniques in Topological Quantum Field Theory, Kananaskis Village, Canada 22 - 26 August 2001

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.

List of contents

Combinatorial Formulas for Cohomology of Spaces of Knots.- On the Homology of Spaces of Long Knots.- Some Computations of Ohtsuki Series.- From 3-moves to Lagrangian Tangles and Cubic Skein Modules.- On Spin and Complex Spin Borromean Surgeries.- Khovanov Homology: Torsion and Thickness.- Khovanov Homology for Knots and Links with up to 11 Crossings.- Perturbative Quantum Field Theory and L?-algebras.- A Linking Form Conjecture for 3-manifolds.- Mappings of Non-zero Degree between 3-manifolds: a New Obstruction.- On Braid Groups, Homotopy Groups, and Modular Forms.- A Note on Symplectic Circle Actions and Massey Products.- Realization of Primitive Branched Coverings Over Closed Surfaces.- Cohomology Rings of Oriented Seifert Manifolds with mod ps Coefficients.- On Cyclic Covers of the Riemann Sphere and a Related Class of Curves.

Summary

Features the proceedings of the NATO ARW during August 2001 at Canada on "New Techniques in Topological Quantum Field Theory". The featured articles include papers on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series, and a paper on the torsion conjecture for Khovanov homology by Shumakovitch.

Product details

• Authors: John M. Bryden
• Assisted by: J. M. Bryden (Editor), John M Bryden (Editor), John M. Bryden (Editor), John M Bryden (Editor)
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 14.04.2009
• EAN: 9781402027710
• ISBN: 978-1-4020-2771-0
• No. of pages: 354
• Dimensions: 154 mm x 233 mm x 21 mm
• Weight: 530 g
• Illustrations: VIII, 354 p.
• Series: NATO Science Series II Mathematics, Physics and Chemistry; Nato Science Series II: NATO Science Series II Mathematics, Physics and Chemistry; NATO Science Series II; NATO Science Series II: Mathem
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Quantenfeldtheorie, Algebra, Analytische Geometrie, Gruppe (mathematisch) - Gruppentheorie, Gruppen und Gruppentheorie, Algebra / Gruppe (mathematisch), Topologie - Differenzialtopologie, Analytische Topologie, Geometrie / Analytische Geometrie, Algebraische Topologie