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

Ito, Ko-Ki; Yoshinaga, Masahiko

doi:10.1090/S0002-9939-2011-11168-7

Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
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by Ko-Ki Ito and Masahiko Yoshinaga PDF

Proc. Amer. Math. Soc. 140 (2012), 2065-2074 Request permission

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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