Quasi-morphismes et invariant de Calabi
| dc.creator | Py, Pierre | |
| dc.date | 2005-06-06 | |
| dc.date | 2005-06-19 | |
| dc.date.accessioned | 2026-07-07T08:06:59Z | |
| dc.date.available | 2026-07-07T08:06:59Z | |
| dc.description | In this paper, we give two elementary constructions of homogeneous quasi-morphisms defined on the group of Hamiltonian diffeomorphisms of certain closed connected symplectic manifolds (or on its universal cover). The first quasi-morphism, denoted by $\calabi\_{S}$, is defined on the group of Hamiltonian diffeomorphisms of a closed oriented surface $S$ of genus greater than 1. This construction is motivated by a question of M. Entov and L. Polterovich. If $U\subset S$ is a disk or an annulus, the restriction of $\calabi\_{S}$ to the subgroup of diffeomorphisms which are the time one map of a Hamiltonian isotopy in $U$ equals Calabi's homomorphism. The second quasi-morphism is defined on the universal cover of the group of Hamiltonian diffeomorphisms of a symplectic manifold for which the cohomology class of the symplectic form is a multiple of the first Chern class. | |
| dc.description | 19 pages, juin 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0506096 | |
| dc.identifier | http://arxiv.org/abs/math/0506096 | |
| dc.identifier | Annales Scientifiques de l'Ecole normale supérieure 39, no.1 (2006) 177--195 | |
| dc.identifier | doi:10.1016/j.ansens.2005.11.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130792 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 20J06 ; 53D05 | |
| dc.title | Quasi-morphismes et invariant de Calabi | |
| dc.type | text |