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- Title
The hypertoric intersection cohomology ring.
- Authors
Braden, Tom; Proudfoot, Nicholas
- Abstract
We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ring structure is induced by a ring structure on the equivariant intersection cohomology sheaf in the equivariant derived category. The computation is given in terms of a localization functor which takes equivariant sheaves on a sufficiently nice stratified space to sheaves on a poset.
- Subjects
OPERATIONS (Algebraic topology); ALGEBRAIC topology; STIFF computation (Differential equations); TORUS; CALCULUS
- Publication
Inventiones Mathematicae, 2009, Vol 177, Issue 2, p337
- ISSN
0020-9910
- Publication type
Article
- DOI
10.1007/s00222-009-0181-y