String Topology and Cyclic Homology

• Main Authors: Cohen, Ralph L. (Author), Hess, Kathryn (Author), Voronov, Alexander A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
• Subjects: Mathematics.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Physics.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).; Mathematical Methods in Physics.

The subject of this book is string topology, Hochschild and cyclic homology. The first part consists of an excellent exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topologi...

Table of Contents:

• Notes on String Topology
• Intersection theory in loop spaces
• The cacti operad
• Field theoretic properties of string topology
• A Morse theoretic viewpoint
• Brane topology
• An Algebraic Model for Mod 2 Topological Cyclic Homology
• Preliminaries
• Free loop spaces
• Homotopy orbit spaces
• A model for mod 2 topological cyclic homology.