Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
arXiv:1102.2039
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.
corrected typos, 13 pages