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Mathematics > Differential Geometry

arXiv:math/0405422 (math)
[Submitted on 21 May 2004]

Title:The equivariant cohomology of hypertoric varieties and their real loci

Authors:Megumi Harada, Tara S. Holm
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Abstract: Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T-equivariant cohomology of M, extending results of Goresky, Kottwitz and MacPherson and techniques of Tolman and Weitsman. Moreover, when M is equipped with an antisymplectic involution \sigma anticommuting with the action of T, we also extend to this noncompact setting the ``mod 2'' versions of these results to the real locus Q:= M^\sigma of M. We give applications of these results to the theory of hypertoric varieties.
Comments: 27 pages, 10 figures
Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)
MSC classes: 55N91 (primary); 53C26, 05C90 (secondary)
Cite as: arXiv:math/0405422 [math.DG]
  (or arXiv:math/0405422v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.math/0405422

Submission history

From: Tara S. Holm [view email]
[v1] Fri, 21 May 2004 20:57:25 UTC (35 KB)
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