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Intersection Cohomology

  • Armand Borel

Part of the Modern Birkhäuser Classics book series (MBC, 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

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

Bibliographic information

  • 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
  • Print ISBN 978-0-8176-4764-3
  • Online ISBN 978-0-8176-4765-0
  • Series Print ISSN 2197-1803
  • Series Online ISSN 2197-1811
  • Buy this book on publisher's site