Geodesic length spectrum of hyperelliptic connected components

Corentin Boissy; Erwan Lanneau

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arXiv · 1705.10379

Geodesic length spectrum of hyperelliptic connected components

Corentin Boissy·Erwan Lanneau

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Abstract

We propose a general framework for studying pseudo-Anosov homeomorphisms on translation surfaces. This new approach, among other consequences, allows us to compute the systole of the Teichmueller geodesic flow restricted to the hyperelliptic connected components, settling a question of Farb. We stress that all proofs and computations are performed without the help of a computer. As a byproduct, our methods give a way to describe the bottom of the lengths spectrum of the hyperelliptic components.

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Corentin Boissy, Erwan Lanneau. 2017-05-29. Geodesic length spectrum of hyperelliptic connected components. https://arxiv.org/abs/1705.10379

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