Symplectic automorphisms of T^*S^2
| dc.creator | Seidel, Paul | |
| dc.date | 1998-03-19 | |
| dc.date.accessioned | 2026-07-07T05:24:07Z | |
| dc.date.available | 2026-07-07T05:24:07Z | |
| dc.description | Let M be the cotangent bundle of S^2, with the standard symplectic structure. By adapting an argument of Gromov we determine the weak homotopy type of the group S of those symplectic automorphisms of M which are trivial at infinity. It turns out that S is weakly homotopy equivalent to \Z. π_0(S) is generated by the class of the standard "generalized Dehn twist". As a consequence, we show that there are different connected components of S which lie in the same connected component of the corresponding group of diffeomorphisms. | |
| dc.description | 4pages, LaTex2e with xy-pic | |
| dc.identifier | https://arxiv.org/abs/math/9803084 | |
| dc.identifier | http://arxiv.org/abs/math/9803084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76716 | |
| dc.subject | Differential Geometry | |
| dc.title | Symplectic automorphisms of T^*S^2 | |
| dc.type | text |