Equivariant symplectic geometry of cotangent bundles, II
| dc.creator | Timashev, Dmitri A. | |
| dc.date | 2005-02-14 | |
| dc.date | 2005-07-06 | |
| dc.date.accessioned | 2026-07-07T05:16:58Z | |
| dc.date.available | 2026-07-07T05:16:58Z | |
| dc.description | We examine the structure of the cotangent bundle $T^{*}X$ of an algebraic variety $X$ acted on by a reductive group $G$ from the viewpoint of equivariant symplectic geometry. In particular, we construct an equivariant symplectic covering of $T^{*}X$ by the cotangent bundle of a certain variety of horospheres in $X$, and integrate the invariant collective motion on $T^{*}X$. These results are based on a "local structure theorem" describing the action of a certain parabolic in $G$ on an open subset of $X$, which is interesting by itself. | |
| dc.description | AmSLaTeX, 18 pages, 11 bibliography items; minor corrections made | |
| dc.identifier | https://arxiv.org/abs/math/0502284 | |
| dc.identifier | http://arxiv.org/abs/math/0502284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74189 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 14L30 (Primary) 53D05, 53D20 (Secondary) | |
| dc.title | Equivariant symplectic geometry of cotangent bundles, II | |
| dc.type | text |