Abelianization for hyperkähler quotients

T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.


Journal Article | Published
Author
Hausel, TamasIST Austria; Proudfoot, Nicholas J
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.
Publishing Year
Date Published
2005-01-01
Journal Title
Topology
Acknowledgement
Financial support was provided in part by NSF Grants DMS-0072675 and DMS-0305505.
Volume
44
Issue
1
Page
231 - 248
IST-REx-ID

Cite this

Hausel T, Proudfoot N. Abelianization for hyperkähler quotients. Topology. 2005;44(1):231-248. doi:10.1016/j.top.2004.04.002
Hausel, T., & Proudfoot, N. (2005). Abelianization for hyperkähler quotients. Topology, 44(1), 231–248. https://doi.org/10.1016/j.top.2004.04.002
Hausel, Tamas, and Nicholas Proudfoot. “Abelianization for Hyperkähler Quotients.” Topology 44, no. 1 (2005): 231–48. https://doi.org/10.1016/j.top.2004.04.002.
T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” Topology, vol. 44, no. 1, pp. 231–248, 2005.
Hausel T, Proudfoot N. 2005. Abelianization for hyperkähler quotients. Topology. 44(1), 231–248.
Hausel, Tamas, and Nicholas Proudfoot. “Abelianization for Hyperkähler Quotients.” Topology, vol. 44, no. 1, Elsevier, 2005, pp. 231–48, doi:10.1016/j.top.2004.04.002.
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