Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements (1102.2039v2)

Published 10 Feb 2011 in math.GT, math.AG, and math.CO

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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