Abelianization for hyperkahler quotients

Details Abelianization for hyperkahler quotients Abelianization for hyperkahler quotients

2003-10-09

arxiv.org/abs/math/0310141v1

Mathematics

Symplectic Geometry

18 pages, 1 figure

Scientific paper

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.

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