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Generic Rotation Sets in Hyperbolic Surfaces

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arxiv 2006.12345 v1 pith:HYBY372Q submitted 2020-06-22 math.DS

J. Alonso , J. Brum , A. Passeggi This is my paper · ORCID
classification math.DS
keywords genericrotationsetsasymptoticclosedconvexexamplesgenus
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abstract

We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus $g>1$, the rotation set is given by a union of at most $2^{5g-3}$ convex sets. Examples showing the sharpness for this asymptotic order are provided.

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