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Real intersection homology II: A local duality obstruction

Clint McCrory, Adam Parusinski

Abstract

We show that the intersection pairing on our real intersection homology groups is not a dual pairing in general.

Real intersection homology II: A local duality obstruction

Abstract

We show that the intersection pairing on our real intersection homology groups is not a dual pairing in general.

Paper Structure

This paper contains 3 sections, 4 theorems, 13 equations.

Table of Contents

  1. Real intersection homology
  2. The obstruction
  3. A counterexample

Key Result

Theorem 2.1

Let $M$ be a compact even dimensional manifold without boundary. If $M$ is the boundary of a compact manifold $W$, then the euler characteristic $\chi(M)$ is even.

Theorems & Definitions (10)

  • Theorem 2.1
  • proof
  • Remark 2.2
  • Remark 2.3
  • Theorem 2.4
  • Corollary 2.5
  • proof
  • Theorem 2.6
  • Remark 2.7
  • proof