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

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

This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant 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.

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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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“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)

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Ralph L. Cohen
Verlag: Springer Basel AG Jan 2006 (2006)
ISBN 10: 3764321822 ISBN 13: 9783764321826
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Buchbeschreibung Springer Basel AG Jan 2006, 2006. Taschenbuch. Buchzustand: Neu. Neuware - This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant 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. 163 pp. Englisch. Artikel-Nr. 9783764321826

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