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1 results

  • 6 - Non-GM Intersection Homology

  • Greg Friedman, Texas Christian University
  • Book:
    Singular Intersection Homology
    Published online:
    18 September 2020
    Print publication:
    24 September 2020, pp 262-352

  • Summary

    We introduce “non-GM” intersection homology, which is a version of intersection homology that has better properties for arbitrary perversity parameters, though it agrees with GM intersection homology with certain perversity restrictions. We develop the basic properties of this version of intersection homology, including behavior under stratified maps and homotopies, relative intersection homology, excision, Mayer–Vietoris sequences, cross products, and a new cone formula. We also develop a Künneth theorem for products of stratified spaces, and prove theorems about splitting intersection chains into smaller pieces.