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