On the cohomology rings of Hamiltonian T-spaces
| dc.creator | Tolman, Susan | |
| dc.creator | Weitsman, Jonathan | |
| dc.date | 1998-12-01 | |
| dc.date | 1998-12-02 | |
| dc.date.accessioned | 2026-07-07T05:27:04Z | |
| dc.date.available | 2026-07-07T05:27:04Z | |
| dc.description | Let $M$ be a symplectic manifold equipped with a Hamiltonian action of a torus $T$. Let $F$ denote the fixed point set of the $T$-action and let $i:F\hookrightarrow M$ denote the inclusion. By a theorem of F. Kirwan \cite{K} the induced map $i^*:H_T^*(M) \to H_T^*(F)$ in equivariant cohomology is an injection. We give a simple proof of a formula of Goresky-Kottwitz-MacPherson \cite{GKM} for the image of the map $i^*$. | |
| dc.description | correction to references | |
| dc.identifier | https://arxiv.org/abs/math/9812006 | |
| dc.identifier | http://arxiv.org/abs/math/9812006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77785 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | Symplectic Geometry | |
| dc.title | On the cohomology rings of Hamiltonian T-spaces | |
| dc.type | text |