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© 1984

Intersection Cohomology

Book

Part of the Modern Birkhäuser Classics book series (volume 50)

Table of contents

About this book

Introduction

This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983.

This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). While some familiarity with algebraic topology and sheaf theory is assumed, the notes include a self-contained account of further material on constructibility, derived categories, Verdier duality, biduality, and on stratified spaces, which is used in the second paper but not found in standard texts.

 

"The volume should be useful to someone interested in acquiring some basic knowledge about the field..." —Mathematical Reviews

Keywords

Algebraic topology Verdier duality algebra cohomology cohomology theory homology perverse sheaves topology

Authors and affiliations

  1. 1.MathematikETH-ZentrumZurichSwitzerland
  2. 2.The Institute for Advanced StudySchool of MathematicsPrincetonUSA

Bibliographic information

  • Book Title Intersection Cohomology
  • Authors Armand Borel
  • Series Title Modern Birkhäuser Classics
  • Series Abbreviated Title Modern Birkhäuser Classics
  • DOI https://doi.org/10.1007/978-0-8176-4765-0
  • Copyright Information Birkhäuser Boston 1984
  • Publisher Name Birkhäuser Boston
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-8176-3274-8
  • Softcover ISBN 978-0-8176-4764-3
  • eBook ISBN 978-0-8176-4765-0
  • Series ISSN 2197-1803
  • Series E-ISSN 2197-1811
  • Edition Number 1
  • Number of Pages X, 234
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 50 in the series: Progress in Mathematics
  • Topics Algebraic Topology
    K-Theory
    Algebraic Geometry
    Number Theory
  • Buy this book on publisher's site

Reviews

"The volume should be useful to someone interested in acquiring some basic knowledge about the field..." —Mathematical Reviews