Sur les transformations de contact au-dessus des surfaces
| dc.creator | Giroux, Emmanuel | |
| dc.date | 2001-02-01 | |
| dc.date.accessioned | 2026-07-07T04:39:56Z | |
| dc.date.available | 2026-07-07T04:39:56Z | |
| dc.description | Let S be a compact surface - or the interior of a compact surface - and let V be the manifold of cooriented contact elements of S equiped with its canonical contact structure. A diffeomorphism of V that preserves the contact structure and its coorientation is called a contact transformation over S. We prove the following results. 1) If S is neither a sphere nor a torus then the inclusion of the diffeomorphism group of S into the contact transformation group is 0-connected. 2) If S is a sphere then the contact transformation group is connected. 3) if S is a torus then the homomorphism from the contact transformation group of S to the automorphism group of $H_1(V) \simeq Z^3$ has connected fibers and the image is (known to be) the stabilizer of $Z^2 \times \{0\}$). | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0102009 | |
| dc.identifier | http://arxiv.org/abs/math/0102009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60873 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57M50, 57R17 (primary) 53D35, 53D10 (secondary) | |
| dc.title | Sur les transformations de contact au-dessus des surfaces | |
| dc.type | text |