Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516315 | Topology | 2005 | 18 Pages |
Abstract
We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkähler 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Tamás Hausel, Nicholas Proudfoot,