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Pré-Publication, Document De Travail Année : 2023

Hyperbolic isometries of the fine curve graph of higher genus surfaces

Résumé

We prove that for a homeomorphism f that is isotopic to the identity on a closed hyperbolic surface, the following are equivalent: * f acts hyperbolically on the fine curve graph; * f is isotopic to a pseudo-Anosov map relative to a finite f-invariant set; * the ergodic homological rotation set of f has nonempty interior.
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Dates et versions

hal-04267447 , version 1 (01-11-2023)
hal-04267447 , version 2 (06-11-2023)

Identifiants

  • HAL Id : hal-04267447 , version 2

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Pierre-Antoine Guihéneuf, Emmanuel Militon. Hyperbolic isometries of the fine curve graph of higher genus surfaces. 2023. ⟨hal-04267447v2⟩
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