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Equivariant Surgery Theories and Their Periodicity Properties

  • Authors
  • Karl Heinz Dovermann
  • Reinhard Schultz

Part of the Lecture Notes in Mathematics book series (LNM, volume 1443)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Karl Heinz Dovermann, Reinhard Schultz
    Pages 1-8
  3. Karl Heinz Dovermann, Reinhard Schultz
    Pages 9-36
  4. Karl Heinz Dovermann, Reinhard Schultz
    Pages 37-79
  5. Karl Heinz Dovermann, Reinhard Schultz
    Pages 80-114
  6. Karl Heinz Dovermann, Reinhard Schultz
    Pages 115-140
  7. Karl Heinz Dovermann, Reinhard Schultz
    Pages 141-191
  8. Back Matter
    Pages 192-227

About this book

Introduction

The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position hypotheses on the strata of manifolds with group actions. The contents of the book presuppose some familiarity with the basic ideas of surgery theory and transformation groups, but no previous knowledge of equivariant surgery is assumed. The book is designed to serve either as an introduction to equivariant surgery theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.

Keywords

Area Equivalence Grad boundary element method design form geometric topology group group action manifold surgery theorem transformation transformation group transformations groups

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092354
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-53042-8
  • Online ISBN 978-3-540-46394-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site