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String topology and cyclic homology

Author: Ralph L Cohen; Kathryn Hess; Alexander A Voronov
Publisher: Basel ; Boston : Birkhäuser, 2006.
Series: Advanced courses in mathematics, CRM Barcelona.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Ralph L Cohen; Kathryn Hess; Alexander A Voronov
ISBN: 3764321822 9783764321826 3764373881 9783764373887
OCLC Number: 62742673
Description: vi, 163 pages : illustrations ; 24 cm.
Contents: I. Notes on string topology / Ralph L. Cohen and Alexander A. Voronov --
1. Intersection theory in loop spaces --
2. The cacti operad --
3. String topology as field theory --
4. A Morse theoretic viewpoint --
5. Brane topology --
II. An algebraic model for mod 2 topological cyclic homology / Kathryn Hess --
1. Preliminaries --
2. Free loop spaces --
3. Homotopy orbit spaces --
4. A model for mod 2 topological cyclic homology.
Series Title: Advanced courses in mathematics, CRM Barcelona.
Responsibility: Ralph L. Cohen, Kathryn Hess, Alexander A. Voronov.
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Abstract:

This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The text string topology from the  Read more...

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From the reviews: "This book gives an introduction to some exciting recent developments in the topology of free loop spaces. It should be a good starting point for a more detailed study of the Read more...

 
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