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SEMI-ALGEBRAIC PARTITION AND BASIS OF BOREL-MOORE HOMOLOGY OF HYPERPLANE ARRANGEMENTS.
- Source :
- Proceedings of the American Mathematical Society; Jun2012, Vol. 140 Issue 6, p2065-2074, 10p
- Publication Year :
- 2012
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 140
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 71911910
- Full Text :
- https://doi.org/10.1090/S0002-9939-2011-11168-7