The Conley Conjecture
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2009-06-23 v2 微分几何
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摘要
We prove the Conley conjecture for a closed symplectically aspherical symplectic manifold: a Hamiltonian diffeomorphism of a such a manifold has infinitely many periodic points. More precisely, we show that a Hamiltonian diffeomorphism with finitely many fixed points has simple periodic points of arbitrarily large period. This theorem generalizes, for instance, a recent result of Hingston establishing the Conley conjecture for tori.
引用
@article{arxiv.math/0610956,
title = {The Conley Conjecture},
author = {Viktor L. Ginzburg},
journal= {arXiv preprint arXiv:math/0610956},
year = {2009}
}
备注
46 pages, two figures; minor corrections and typos fixed in the second version