An index that refines the Poincaré-Lefschetz index for surface homeomorphisms

DOI10.4007/ANNALS.2010.171.1531zbMath1203.37076OpenAlexW2370264416MaRDI QIDQ974072

Frédéric Le Roux

Publication date: 27 May 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.princeton.edu/annals/2010/171-3/p03.xhtml

zbMATH Keywords

fixed pointtopological dynamicssurface homeomorphismPoincaré-Lefschetz index

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (2)

Structure of Brouwer homeomorphismus ⋮ Free planar actions of the Klein bottle group

Cites Work

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• An orientation preserving fixed point free homeomorphism of the plane which admits no closed invariant line
• A bound for the fixed-point index of an area-preserving map with applications to mechanics
• A dynamical property of homeomorphisms of the plane in the neighborhood of a fixed point of index \(>1\)
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• A dynamical proof of Brouwer's translation theorem
• Structure of Brouwer homeomorphismus
• A bound for the fixed point index of area-preserving homeomorphisms of two-manifolds
• A Brouwer Translation Theorem for Free Homeomorphisms
• A new proof of the Brouwer plane translation theorem
• A Generalized Translation Theorem for Free Homeomorphisms of Surfaces

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