Fixed Points of abelian actions
classification
🧮 math.DS
keywords
abelianfixedactionsclosedcommondiffeomorphismselementsgenus
read the original abstract
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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