Abelianization for hyperkähler quotients

@inproceedings{Hausel2003AbelianizationFH,
  title={Abelianization for hyperk{\"a}hler quotients},
  author={Tam{\'a}s Hausel and Nicholas Proudfoot},
  year={2003}
}
  • Tamás Hausel, Nicholas Proudfoot
  • Published 2003
  • Mathematics
  • Abstract 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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