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Problems and Bibliography on Intersection Homology

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Intersection Cohomology

Part of the book series: Modern Birkhäuser Classics ((MBC,volume 50))

Abstract

Before considering various possible extensions of intersection homology (such as intersection K-theory), we wish to reflect on small resolutions[D], [F]. For a small resolution π: \( \tilde X \to X \) there is a canonical isomorphism \( H_* (\tilde X) \cong IH_* (X) \). We might expect other “intersection functors” to satisfy a similar identity. A severe limitation on the existence of such functors is therefore provided by the existence of spaces which have two different small resolutions.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Boston, MA, 02115, USA

    M. Goresky

  2. Department of Mathematics, Brown University, Providence, R.I., 02912, USA

    R. MacPherson

Authors
  1. M. Goresky
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  2. R. MacPherson
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© 1984 Birkhäuser Boston, Inc.

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Goresky, M., MacPherson, R. (1984). Problems and Bibliography on Intersection Homology. In: Intersection Cohomology. Modern Birkhäuser Classics, vol 50. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4765-0_9

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  • DOI: https://doi.org/10.1007/978-0-8176-4765-0_9

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4764-3

  • Online ISBN: 978-0-8176-4765-0

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