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- W3000623878 abstract "We show that the presence of a non-contractible one-periodic orbit of a Hamiltonian diffeomorphism of a connected closed symplectic manifold $(M,omega)$ implies the existence of infinitely many non-contractible simple periodic orbits, provided that the symplectic form $omega$ is aspherical and the fundamental group $pi_1(M)$ is either a virtually abelian group or an $mathrm{R}$-group. We also show that a similar statement holds for Hamiltonian diffeomorphisms of closed monotone or negative monotone symplectic manifolds under the same conditions on their fundamental groups. These results generalize some works by Ginzburg and Gurel. The proof uses the filtered Floer--Novikov homology for non-contractible periodic orbits." @default.
- W3000623878 created "2020-01-23" @default.
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- W3000623878 date "2019-01-01" @default.
- W3000623878 modified "2023-09-25" @default.
- W3000623878 title "On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds" @default.
- W3000623878 doi "https://doi.org/10.4310/jsg.2019.v17.n6.a9" @default.
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