String Topology and Cyclic Homology

  • Ralph L. Cohen
  • Kathryn Hess
  • Alexander A. Voronov

Part of the Advanced Courses in Mathematics CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Notes on String Topology

    1. Front Matter
      Pages 1-1
    2. Pages 3-4
    3. Pages 25-45
    4. Pages 79-87
    5. Back Matter
      Pages 89-95
  3. An Algebraic Model for Mod 2 Topological Cyclic Homology

    1. Front Matter
      Pages 97-102
    2. Pages 103-113
    3. Pages 115-137
    4. 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.


Free loop spaces Hochschild homology Homotopy String topology homology

Authors and affiliations

  • Ralph L. Cohen
    • 1
  • Kathryn Hess
    • 2
  • Alexander A. Voronov
    • 3
  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2.Faculté des Sciences de base EPFLInstitut de MathématiquesLausanneSwitzerland
  3. 3.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information