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Lengths spectrum of hyperelliptic components. Lanneau, Erwan


The mapping class group of surfaces is a very rich object, directly related to the geometry of the moduli space. Pseudo-Anosov homeomorphisms give a way to understand this geometry. We propose a general framework for studying these homeomorphisms on (half-)translation surfaces. As an application, among other consequences, this allows us to determine the systole of the hyperelliptic connected components (for the Teichmueller metric) for any genus. This is joint work with Corentin Boissy.

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