The equivariant cohomology of hypertoric varieties and their real loci
| dc.creator | Harada, Megumi | |
| dc.creator | Holm, Tara S. | |
| dc.date | 2004-05-21 | |
| dc.date.accessioned | 2026-07-07T05:08:28Z | |
| dc.date.available | 2026-07-07T05:08:28Z | |
| dc.description | 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 σanticommuting 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^σof M. We give applications of these results to the theory of hypertoric varieties. | |
| dc.description | 27 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0405422 | |
| dc.identifier | http://arxiv.org/abs/math/0405422 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71276 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 55N91 (primary); 53C26, 05C90 (secondary) | |
| dc.title | The equivariant cohomology of hypertoric varieties and their real loci | |
| dc.type | text |