Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
| dc.creator | Bourgeois, Frédéric | |
| dc.creator | Oancea, Alexandru | |
| dc.date | 2007-04-08 | |
| dc.date | 2008-04-30 | |
| dc.date.accessioned | 2026-07-07T09:35:41Z | |
| dc.date.available | 2026-07-07T09:35:41Z | |
| dc.description | We define Floer homology for a time-independent, or autonomous Hamiltonian on a symplectic manifold with contact type boundary, under the assumption that its 1-periodic orbits are transversally nondegenerate. Our construction is based on Morse-Bott techniques for Floer trajectories. Our main motivation is to understand the relationship between linearized contact homology of a fillable contact manifold and symplectic homology of its filling. | |
| dc.description | Final version, 92 pages, 7 figures, index of notations. Remark 4.9 in Version 1 is wrong. To correct it we modified the weights for the Sobolev spaces along the gradient trajectories (Figure 3). Proposition 4.8 in Version 1 is now split into Propositions 4.8 and 4.9. This version contains full details for the second derivative estimates in Lemma 4.20 | |
| dc.identifier | https://arxiv.org/abs/0704.1039 | |
| dc.identifier | http://arxiv.org/abs/0704.1039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159912 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D40 | |
| dc.title | Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces | |
| dc.type | text |