Seidel's Representation on the Hamiltonian Group of a Cartesian Product
| dc.creator | Pedroza, Andres | |
| dc.date | 2008-05-09 | |
| dc.date.accessioned | 2026-07-07T09:38:03Z | |
| dc.date.available | 2026-07-07T09:38:03Z | |
| dc.description | Let $(M,ω)$ be a closed symplectic manifold and $\textup{Ham}(M,ω)$ the group of Hamiltonian diffeomorphisms of $(M,ω)$. Then the Seidel homomorphism is a map from the fundamental group of $\textup{Ham}(M,ω)$ to the quantum homology ring $QH_*(M;Λ)$. Using this homomorphism we give a sufficient condition for when a nontrivial loop $ψ$ in $\textup{Ham}(M,ω)$ determines a nontrivial loop $ψ\times\textup{id}_N$ in $\textup{Ham}(M\times N,ω\oplusη)$, where $(N,η)$ is a closed symplectic manifold such that $π_2(N)=0$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0805.1375 | |
| dc.identifier | http://arxiv.org/abs/0805.1375 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160671 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 53D45 | |
| dc.title | Seidel's Representation on the Hamiltonian Group of a Cartesian Product | |
| dc.type | text |