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

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

2011-02-10

arxiv.org/abs/1102.2039v2

Mathematics

Geometric Topology

corrected typos, 13 pages

Scientific paper

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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