Equivariant cohomology rings of toric hyperkähler manifolds (Q2715740)
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scientific article; zbMATH DE number 1599968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant cohomology rings of toric hyperkähler manifolds |
scientific article; zbMATH DE number 1599968 |
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20 November 2001
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toric hyper-Kähler manifold
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hyper-Kähler quotient
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equivariant cohomology
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Equivariant cohomology rings of toric hyperkähler manifolds (English)
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A toric hyper-Kähler manifold is a smooth hyper-Kähler quotient of \(\mathbb{H}^N\) by a subtorus of \(T^N\). In his earlier paper [Int. J. Math. 11, 1001-1026 (2000; Zbl 0991.53027)] the author determined the ring structue of the integral cohomology of a toric hyper-Kähler manifold. In this article the author shows that the method used in his earlier paper can be applied to compute the integral equivariant cohomology rings.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00032].
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