Document Zbl 1277.37071

A topological version of the Poincaré-Birkhoff theorem with two fixed points. (English) Zbl 1277.37071

Math. Ann. 352, No. 4, 1013-1028 (2012).

The author presents a topological version of the Poincaré-Birkhoff theorem. Also, he investigates the link between this result and previous works such as Franks’ twist assumption and the Conley-Zehnder theorem in the annulus.

Reviewer: Florin Bojor (Baia Mare)

Cited in 1 Document

MSC:

37E30	Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
37C25	Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
47H10	Fixed-point theorems

Keywords:

fixed point theorem; homeomorphism; boundary twist condition; Conley-Zehnder; Poincaré-Birkhoff

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References:

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