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arXiv · 1603.04013

Finite orbits for nilpotent actions on the torus

Sebastião Firmo·Javier Ribón
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Abstract

A homeomorphism of the $2$-torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove that a nilpotent group of $2$-torus diffeomorphims has finite orbits when the group has some element with Lefschetz number different from zero.

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Sebastião Firmo, Javier Ribón. 2016-03-13. Finite orbits for nilpotent actions on the torus. https://doi.org/10.1090/proc/13686

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