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19972026
most citedThe free splitting complex of a free group I: Hyperbolicity

75 citations · 405 across the 36 of their papers we have counts for

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9 papers · 1 filter

math.DS2012

Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of

John Franks, Michael Handel

We show that if is a compact oriented surface of genus 0 and is a subgroup of $\Symp^ω_μ(M)$ which has an infinite normal solvable subgroup, then is virtually abelian.…

math.DS2010★ 13 cited

Entropy zero area preserving diffeomorphisms of

John Franks, Michael Handel

In this paper we formulate and prove a structure theorem for area preserving diffeomorphisms of genus zero surfaces with zero entropy. As an application we relate the existence of…

math.DS2008★ 14 cited

Global fixed points for centralizers and Morita's Theorem

John Franks, Michael Handel

We prove a global fixed point theorem for the centralizer of a homeomorphism of the two dimensional disk that has attractor-repeller dynamics on the boundary with at least two…

math.DS2007★ 1 cited

Complete semi-conjugacies for psuedo-Anosov homeomorphisms

John Franks, Michael Handel

Suppose is a surface of genus , is a surface homeomorphism isotopic to a pseudo-Anosov map and suppose $\ti S$ is the universal cover of and an…

math.DS2006

Fixed Points of abelian actions

John Franks, Michael Handel, Kamlesh Parwani

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

math.DS2005★ 3 cited

Fixed Points of abelian actions on

John Franks, Michael Handel, Kamlesh Parwani

We prove that if is a finitely generated abelian group of orientation preserving diffeomorphisms of which leaves invariant a compact set then there is a common fixe…