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New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant by Do, Hieu Trung; Schmidt, Thomas A. is a scholarly article available to read on EtoBox.

What is New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant about?

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.

Author

Do, Hieu Trung; Schmidt, Thomas A.

Published

2016

Language

EN