Periodic points of Hamiltonian surface diffeomorphisms
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Publication:1426934
DOI10.2140/GT.2003.7.713zbMATH Open1034.37028arXivmath/0303296OpenAlexW2139192637MaRDI QIDQ1426934
Author name not available (Why is that?)
Publication date: 15 March 2004
Published in: (Search for Journal in Brave)
Abstract: The main result of this paper is that every non-trivial Hamiltonian diffeomorphism of a closed oriented surface of genus at least one has periodic points of arbitrarily high period. The same result is true for S^2 provided the diffeomorphism has at least three fixed points. In addition we show that up to isotopy relative to its fixed point set, every orientation preserving diffeomorphism F: S --> S of a closed orientable surface has a normal form. If the fixed point set is finite this is just the Thurston normal form.
Full work available at URL: https://arxiv.org/abs/math/0303296
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