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Topological Invariants of Stratified Spaces

  • M. Banagl

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Pages 27-57
  3. Pages 59-70
  4. Pages 71-98
  5. Pages 141-159
  6. Pages 161-216
  7. Pages 243-249
  8. Back Matter
    Pages 251-259

About this book

Introduction

The central theme of this book is the restoration of Poincaré duality
on stratified singular spaces by using Verdier-self-dual sheaves such
as the prototypical intersection chain sheaf on a complex variety.

After carefully introducing sheaf theory, derived categories,
Verdier duality, stratification theories, intersection homology,
t-structures and perverse sheaves, the ultimate objective is to explain
the construction as well as algebraic and geometric properties of
invariants such as the signature and characteristic classes effectuated
by self-dual sheaves.

Highlights never before presented in book form include complete and
very detailed proofs of decomposition theorems for self-dual sheaves,
explanation of methods for computing twisted characteristic classes
and an introduction to the author's theory of non-Witt spaces and
Lagrangian structures.

Keywords

Characteristic Classes Characteristic class Intersection Homology Self-dual Sheaves Singularities Stratified Spaces homology

Authors and affiliations

  • M. Banagl
    • 1
  1. 1.Mathematisches InstitutUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-38587-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-38585-1
  • Online ISBN 978-3-540-38587-5
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site