String Topology and Cyclic Homology
Authors: Cohen, Ralph L., Hess, Kathryn, Voronov, Alexander A.
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- About this Textbook
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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.
- Reviews
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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 rapidly developing literature on this subject, and given the pace of these advances, this maybe the best that could be hoped for.” (Janko Latschev, Bulletin of the American Mathematical Society, Vol. 47 (4), October, 2010)
- Table of contents (10 chapters)
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Introduction
Pages 3-4
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Intersection theory in loop spaces
Pages 5-23
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The cacti operad
Pages 25-45
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Field theoretic properties of string topology
Pages 47-65
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A Morse theoretic viewpoint
Pages 67-77
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Table of contents (10 chapters)
- Download Preface 1 PDF (20.8 KB)
- Download Table of contents PDF (35.5 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- String Topology and Cyclic Homology
- Authors
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- Ralph L. Cohen
- Kathryn Hess
- Alexander A. Voronov
- Series Title
- Advanced Courses in Mathematics - CRM Barcelona
- Copyright
- 2006
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Birkhäuser Basel
- eBook ISBN
- 978-3-7643-7388-7
- DOI
- 10.1007/3-7643-7388-1
- Softcover ISBN
- 978-3-7643-2182-6
- Series ISSN
- 2297-0304
- Edition Number
- 1
- Number of Pages
- VII, 163
- Topics
