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

Producción científica › revisión exhaustiva

Resumen

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 $\F.$

Idioma original	American English
Publicación	Journal of Modern Dynamics
Estado	Published - jul 2007

Disciplines

Mathematics

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title = "Fixed points of Abelian actions",

abstract = " We prove that if \$\textbackslash{}F\$ is an abelian group of \$C\textasciicircum{}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 \$\textbackslash{}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",

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T1 - Fixed points of Abelian actions

AU - Franks, John

AU - Handel, Michael

AU - Parwani, Kamlesh

PY - 2007/7

Y1 - 2007/7

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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 -