Timeline for Non-degenerate periodic orbits in the boundary of Lefschetz fibration over a disk
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 11, 2015 at 11:26 | vote | accept | Trick1234 | ||
| Aug 3, 2015 at 0:05 | answer | added | Futurologist | timeline score: 3 | |
| Aug 1, 2015 at 0:29 | comment | added | Chris Gerig | Just a comment that might spark a thought: $\phi_\Omega$ is a symplectomorphism w.r.t. $\Omega$, and periodic orbits of period $p$ are fixed points of $\phi^p_\Omega$. For a generic time-dependent Hamiltonian $H$ on $\pi^{-1}(1)$, the perturbed map $\psi_H\circ \phi_\Omega$ has only nondegenerate fixed points (where $\psi_H$ is the time-1 flow of the Hamiltonian isotopy). However, we can't recast a change $\Omega\mapsto\Omega'$ as an existence of $H$, because $\psi_H\circ\phi_\Omega$ is still a symplectomorphism w.r.t. the original $\Omega$. | |
| Jul 29, 2015 at 13:56 | history | edited | Marco Golla | CC BY-SA 3.0 |
Added the dynamical-systems and contact-geometry tags, edited spelling and formatting
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| Jul 29, 2015 at 13:37 | history | asked | Trick1234 | CC BY-SA 3.0 |