Article Dans Une Revue Journal of the European Mathematical Society Année : 2021

Lengths spectrum of hyperelliptic components

Erwan Lanneau

Résumé

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.

Dates et versions

hal-01962229 , version 1 (20-12-2018)

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Citer

Corentin Boissy, Erwan Lanneau. Lengths spectrum of hyperelliptic components. Journal of the European Mathematical Society, 2021, 24 (6), pp.1839-1892. ⟨10.4171/JEMS/1150⟩. ⟨hal-01962229⟩
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