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- W4295246776 abstract "We show that if K: P to R is an autonomous Hamiltonian on a symplectic manifold (P,Omega) which attains 0 as a Morse-Bott nondegenerate minimum along a symplectic submanifold M, and if c_1(TP)|_M vanishes in real cohomology, then the Hamiltonian flow of K has contractible periodic orbits with bounded period on all sufficiently small energy levels. As a special case, if the geodesic flow on the cotangent bundle of M is twisted by a symplectic magnetic field form, then the resulting flow has contractible periodic orbits on all low energy levels. These results were proven by Ginzburg and Gurel when Omega|_M is spherically rational, and our proof builds on their work; the argument involves constructing and carefully analyzing at the chain level a version of filtered Floer homology in the symplectic normal disc bundle to M." @default.
- W4295246776 created "2022-09-12" @default.
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- W4295246776 date "2008-07-10" @default.
- W4295246776 modified "2023-10-01" @default.
- W4295246776 title "Floer homology in disc bundles and symplectically twisted geodesic flows" @default.
- W4295246776 doi "https://doi.org/10.48550/arxiv.0807.1694" @default.
- W4295246776 hasPublicationYear "2008" @default.
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