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Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements

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Abstract

We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology. We also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology.

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Details

  • CRID
    1050845760659378816
  • NII Article ID
    120003988209
  • NII Book ID
    AA1245450X
  • ISSN
    00029939
  • HANDLE
    2433/154579
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles
    • KAKEN

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