String Topology and Cyclic Homology
by
 
Cohen, Ralph L. author.

Title
String Topology and Cyclic Homology

Author
Cohen, Ralph L. author.

ISBN
9783764373887

Personal Author
Cohen, Ralph L. author.

Physical Description
VII, 163 p. online resource.

Series
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica

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.

Abstract
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 topological cyclic homology. The book provides many references for the reader wishing to learn more about the subject, to which it gives a perfect introduction. It is therefore suitable for both graduate students and established researchers. It is certainly the best source of much information that was until now available only to specialists and covers material from the elementary bases to the most recent developments.

Subject Term
Mathematics.
 
Algebraic topology.
 
Cell aggregation -- Mathematics.
 
Mathematical physics.
 
Manifolds and Cell Complexes (incl. Diff.Topology).
 
Mathematical Methods in Physics.

Added Author
Hess, Kathryn.
 
Voronov, Alexander A.

Added Corporate Author
SpringerLink (Online service)

Electronic Access
http://dx.doi.org/10.1007/3-7643-7388-1


LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryE-Book513095-1001QA612 -612.8Online Springer