Overview
- Provides many references for the reader wishing to learn more about the subject
- Gives a perfect introduction to this subject and is therefore suitable for graduate students and confirmed researchers
- Best place to find many informations which were up to now only available to specialists
- Covers material from the elementary bases to the most recent developments
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (10 chapters)
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Front Matter
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Notes on String Topology
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Front Matter
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Back Matter
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An Algebraic Model for Mod 2 Topological Cyclic Homology
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Front Matter
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Back Matter
Keywords
About this book
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
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)Authors and Affiliations
Bibliographic Information
Book Title: String Topology and Cyclic Homology
Authors: Ralph L. Cohen, Kathryn Hess, Alexander A. Voronov
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/3-7643-7388-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Softcover ISBN: 978-3-7643-2182-6Published: 19 January 2006
eBook ISBN: 978-3-7643-7388-7Published: 21 March 2006
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: VII, 163
Topics: Algebraic Topology, Manifolds and Cell Complexes (incl. Diff.Topology), Mathematical Methods in Physics