Abelianization for hyperkahler quotients
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2003
 arXiv:
 arXiv:math/0310141
 Bibcode:
 2003math.....10141H
 Keywords:

 Symplectic Geometry;
 Algebraic Geometry;
 Differential Geometry;
 53D20;
 53C26
 EPrint:
 18 pages, 1 figure