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
2004. Auflage 2005
ISBN: 978-1-4020-2771-0
Verlag: Springer

Buch, Englisch, Band 179, 354 Seiten, Format (B × H): 159 mm x 242 mm, Gewicht: 1130 g

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

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.

Zielgruppe

Research

Autoren/Hrsg.

Bryden, John M

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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.