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Intersection Homology After Deligne

  • Laurenţiu G. Maxim
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 281)

Abstract

In this chapter, we explain the sheaf-theoretic approach to intersection homology theory. We introduce here the Deligne intersection cohomology complex, whose hypercohomology computes the intersection homology groups. This complex of sheaves can be described axiomatically in a way that is independent of the stratification or any additional geometric structure (such as a piecewise linear structure), leading to a proof of the topological invariance of intersection homology groups.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Laurenţiu G. Maxim
    • 1
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA

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