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© 1998

Cyclic Homology

Benefits

  • Subject at the forefront of research

  • A very much needed book

  • Loday is well-known both as one of the leading researchers in the field and also as a very clear and precise expositor

  • A diversity of approaches

  • A comprehensive monograph from a unified point of view

  • There is no competitive work available

Book

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 301)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Jean-Louis Loday
    Pages 1-49
  3. Jean-Louis Loday
    Pages 51-88
  4. Jean-Louis Loday
    Pages 89-114
  5. Jean-Louis Loday
    Pages 115-155
  6. Jean-Louis Loday
    Pages 157-199
  7. Jean-Louis Loday
    Pages 201-225
  8. Jean-Louis Loday
    Pages 227-256
  9. Jean-Louis Loday
    Pages 257-280
  10. Jean-Louis Loday
    Pages 281-298
  11. Jean-Louis Loday
    Pages 299-340
  12. Jean-Louis Loday
    Pages 341-380
  13. Jean-Louis Loday
    Pages 381-398
  14. Jean-Louis Loday, Teimuraz Pirashvili
    Pages 399-445
  15. Back Matter
    Pages 447-516

About this book

Introduction

From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter

In this second edition the authors have added a chapter 13 on MacLane (co)homology.

Keywords

Algebra Algebraic K-Theory Algebraic topology Homology Theory Invariant K-theory algebra Algebras Non-commutative Differential Geometry Topology commutative property geometry homological algebra homology

Authors and affiliations

  1. 1.Centre National de la Recherche ScientifiqueInstitut de Recherche Mathématique AvancéeStrasbourgFrance

Bibliographic information

  • Book Title Cyclic Homology
  • Authors Jean-Louis Loday
  • Series Title Grundlehren der mathematischen Wissenschaften
  • DOI https://doi.org/10.1007/978-3-662-11389-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-63074-6
  • Softcover ISBN 978-3-642-08316-7
  • eBook ISBN 978-3-662-11389-9
  • Series ISSN 0072-7830
  • Edition Number 2
  • Number of Pages XIX, 516
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Topology
    K-Theory
    Mathematics, general
  • Buy this book on publisher's site

Reviews

From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and (in the last chapter) an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics co