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

Generic Rotation Sets in Hyperbolic Surfaces

J. Alonso , J. Brum , A. Passeggi This is my paper

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classification math.DS
keywords genericrotationsetsasymptoticclosedconvexexamplesgenus
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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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