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Article Dans Une Revue Journal of the London Mathematical Society Année : 2020

A lower bound for the volumes of complements of periodic geodesics

Résumé

Every closed geodesic $\gamma$ on a surface has a canonically associated knot $\widehat\gamma$ in the projective unit tangent bundle. We study, for $\gamma$ filling, the volume of the associated knot complement with respect to its unique complete hyperbolic metric. We provide a lower bound for the volume relative to the number of homotopy classes of $\gamma$-arcs in each pair of pants of a pants decomposition of the surface.

Dates et versions

hal-02570437 , version 1 (12-05-2020)

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José Andrés Rodríguez Migueles. A lower bound for the volumes of complements of periodic geodesics. Journal of the London Mathematical Society, In press, ⟨10.1112/jlms.12333⟩. ⟨hal-02570437⟩
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