Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements (Q2884427)
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scientific article; zbMATH DE number 6038839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements |
scientific article; zbMATH DE number 6038839 |
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Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements (English)
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29 May 2012
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hyperplane arrangements
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Borel-Moore homology
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de Rham cohomology
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The authors 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. They also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology.
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