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arXiv · 1211.5044

A characterization of annularity for area-preserving toral homeomorphisms

Nancy Guelman·Andres Koropecki·Fabio Armando Tal
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Abstract

We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the origin, then there exists an essential invariant annulus. In particular, some lift to the universal covering has uniformly bounded displacement in the horizontal direction.

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Nancy Guelman, Andres Koropecki, Fabio Armando Tal. 2012-11-21. A characterization of annularity for area-preserving toral homeomorphisms. https://arxiv.org/abs/1211.5044

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