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Fixed Points Of Abelian Actions, John Franks, Michael Handel, Kamlesh Parwani
Fixed Points Of Abelian Actions, John Franks, Michael Handel, Kamlesh Parwani
Kamlesh Parwani
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 $\F.$