Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces

Jian Wang

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Submission date: 09. Feb. 2016
Pages: 26
Bibtex
MSC-Numbers: 37E30, 37E45, 37J10
Keywords and phrases: Hamiltonian homeomorphisms, Action function, Schwarz's theorem, Aspherical closed surfaces, contractible fixed point
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Abstract:
In this article, we generalize Schwarz’s theorem to C⁰-case on aspherical closed surfaces and prove that a nontrivial Hamiltonian homeomorphism has no connected contractible fixed points set, thus no connected fixed points set.