Abelianization for hyperkahler quotients
Symplectic Geometry
2007-05-23 v1 Algebraic Geometry
Differential Geometry
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.
Cite
@article{arxiv.math/0310141,
title = {Abelianization for hyperkahler quotients},
author = {Tamas Hausel and Nicholas Proudfoot},
journal= {arXiv preprint arXiv:math/0310141},
year = {2007}
}
Comments
18 pages, 1 figure