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.
Journal
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- Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society 140 (6), 2065-2074, 2012-06-01
American Mathematical Society
