On non-contractible periodic orbits of Hamiltonian diffeomorphisms

    Authors

    B. Z. Gurel

    Comments

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    Abbreviated Journal Title

    Bull. London Math. Soc.

    Keywords

    COTANGENT BUNDLES; CONLEY CONJECTURE; FLOER HOMOLOGY; MORSE-THEORY; GEODESICS; DYNAMICS; POINTS; HOMEOMORPHISMS; PRIMES; INDEX; Mathematics

    Abstract

    We prove that any Hamiltonian diffeomorphism of a closed symplectic manifold equipped with an atoroidal symplectic form has simple non-contractible periodic orbits of arbitrarily large period, provided that the diffeomorphism has a non-degenerate (or even isolated and homologically non-trivial) periodic orbit with non-zero homology class and the set of one-periodic orbits in that class is finite.

    Journal Title

    Bulletin of the London Mathematical Society

    Volume

    45

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    1227

    Last Page

    1234

    WOS Identifier

    WOS:000327508800010

    ISSN

    0024-6093

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