Title

On non-contractible periodic orbits of Hamiltonian diffeomorphisms

Authors

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

DOI Link

http://dx.doi.org/10.1112/blms/bdt051

Language

English

First Page

1227

Last Page

1234

WOS Identifier

WOS:000327508800010

ISSN

0024-6093

Recommended Citation

"On non-contractible periodic orbits of Hamiltonian diffeomorphisms" (2013). Faculty Bibliography 2010s. 4069.
https://stars.library.ucf.edu/facultybib2010/4069