String Topology and Cyclic Homology (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

Cohen, Ralph L.

 
9783764321826: String Topology and Cyclic Homology (Advanced Courses in Mathematics - CRM Barcelona)

Inhaltsangabe

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.

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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.

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9783764390020: String Topology and Cyclic Homology

Vorgestellte Ausgabe

ISBN 10:  3764390026 ISBN 13:  9783764390020
Verlag: Springer, 2008
Softcover