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Categorical framework for the study of singular spaces

About this Title

William Fulton and Robert MacPherson

Publication: Memoirs of the American Mathematical Society
Publication Year: 1981; Volume 31, Number 243
ISBNs: 978-0-8218-2243-2 (print); 978-1-4704-0650-9 (online)
DOI: https://doi.org/10.1090/memo/0243
MathSciNet review: 609831
MSC: Primary 55P25; Secondary 14F12

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Table of Contents

Chapters

  • Part I. Bivariant theories
  • 1. Survey
  • 2. Bivariant theories
  • 3. Topological theories
  • 4. Orientations in topology
  • 5. Transfer and fixed point index
  • 6. Whitney classes
  • 7. Grothendieck duality and derived functors
  • 8. Operational theories
  • 9. Rational equivalence and intersection formulas
  • 10. Other bivariant theories; open problems
  • Part II. Products in Riemann-Roch
  • 0. Introduction
  • 1. Statement of the theorem
  • 2. Complexes
  • 3. Proof of the theorem