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- W2298789635 abstract "We show that an orientable pseudo-Anosov homeomorphism has vanishing Sah-Arnoux-Fathi invariant if and only if the minimal polynomial of its dilatation is not reciprocal. We relate this to works of Margalit-Spallone and Birman, Brinkmann and Kawamuro. Mainly, we use Veech's construction of pseudo-Anosov maps to give explicit pseudo-Anosov maps of vanishing Sah-Arnoux-Fathi invariant. In particular, we give new infinite families of such maps in genus 3." @default.
- W2298789635 created "2016-06-24" @default.
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- W2298789635 date "2016-03-04" @default.
- W2298789635 modified "2023-09-23" @default.
- W2298789635 title "New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant" @default.
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- W2298789635 doi "https://doi.org/10.48550/arxiv.1603.01665" @default.
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