A multiperversity generalization of intersection homology

Greg Friedman*, Gil Kalai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We define a generalization of intersection homology, based on considering a set of perversities rather than a single perversity, and explore some of its properties. The question of whether these homology groups are independent of the stratification is left open, however some steps in this direction are made following known proofs of the topological invariance of the classical intersection homology groups.

Original languageEnglish
Pages (from-to)205-224
Number of pages20
JournalPure and Applied Mathematics Quarterly
Volume3
Issue number1
DOIs
StatePublished - 2007

Keywords

  • Intersection homology
  • Manifold stratified space
  • Perversity
  • Pseudomanifold

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