Abelianization for hyperkahler quotients

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We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.
18 pages, 1 figure

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Symplectic Geometry, Algebraic Geometry, Differential Geometry, 53D20; 53C26

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http://salesiana.dossiersoluciones.com/handle/123456789/68803

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310141
 http://arxiv.org/abs/math/0310141

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arXiv