We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
13/2016
Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces
Jian Wang
Abstract
In this article, we generalize Schwarz's theorem to $C^0$-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.
