TY - JOUR
AB - 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.
AU - Tamas Hausel
AU - Proudfoot, Nicholas J
ID - 1463
IS - 1
JF - Topology
TI - Abelianization for hyperkähler quotients
VL - 44
ER -