Fixed Points of abelian actions

Details Fixed Points of abelian actions Fixed Points of abelian actions

2006-07-21

arxiv.org/abs/math/0607557v1

Mathematics

Dynamical Systems

Scientific paper

We prove that if $\F$ is an abelian group of $C^1$ diffeomorphisms isotopic
to the identity of a closed surface $S$ of genus at least two then there is a
common fixed point for all elements of $\F.$

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