Fixed points of Abelian actions

John Franks; Michael Handel; Kamlesh Parwani

Fixed points of Abelian actions

John Franks, Michael Handel, Kamlesh Parwani

Eastern Illinois University

Northwestern University

Research output: Contribution to journal › Article › peer-review

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 $\F.$

Original language	American English
Journal	Journal of Modern Dynamics
State	Published - Jul 2007

Keywords

Abelian group actions on surfaces
fixed points.

Disciplines

Mathematics

Access to Document

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Cite this

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title = "Fixed points of Abelian actions",

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 $\F.$",

keywords = "Abelian group actions on surfaces, fixed points.",

author = "John Franks and Michael Handel and Kamlesh Parwani",

year = "2007",

month = jul,

language = "American English",

journal = "Journal of Modern Dynamics",

}

TY - JOUR

T1 - Fixed points of Abelian actions

AU - Franks, John

AU - Handel, Michael

AU - Parwani, Kamlesh

PY - 2007/7

Y1 - 2007/7

N2 - 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 $\F.$

AB - 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 $\F.$

KW - Abelian group actions on surfaces

KW - fixed points.

M3 - Article

JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

ER -