Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Floer homology in disc bundles and symplectically twisted geodesic flows   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 G\"urel 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.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga