String Topology and Cyclic Homology

• Κύριοι συγγραφείς: Cohen, Ralph L. (Συγγραφέας), Hess, Kathryn (Συγγραφέας), Voronov, Alexander A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2006.
• Σειρά: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
• Θέματα: 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 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. 

 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.