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  • Textbook
  • © 2006

String Topology and Cyclic Homology

Birkhäuser
  • 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)

  1. Front Matter

    Pages i-vii
  2. Notes on String Topology

    1. Front Matter

      Pages 1-1
    2. Introduction

      Pages 3-4
    3. The cacti operad

      Pages 25-45
    4. Brane topology

      Pages 79-87
  3. Back Matter

    Pages 89-95
  4. An Algebraic Model for Mod 2 Topological Cyclic Homology

    1. Front Matter

      Pages 97-102
    2. Preliminaries

      Pages 103-113
    3. Free loop spaces

      Pages 115-137
    4. Homotopy orbit spaces

      Pages 139-151
  5. Back Matter

    Pages 161-163

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

  • Department of Mathematics, Stanford University, Stanford, USA

    Ralph L. Cohen

  • Faculté des Sciences de base EPFL, Institut de Mathématiques, Lausanne, Switzerland

    Kathryn Hess

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Alexander A. Voronov

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access