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Pré-Publication, Document De Travail Année : 2020

A criterion for density of the isoperiodic leaves in rank 1 affine invariant orbifolds

Florent Ygouf
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Résumé

We define on any affine invariant orbifold M a foliation F^M that generalises the isoperiodic foliation on strata of the moduli space of translation surfaces and study the dynamics of its leaves in the rank 1 case. We establish a criterion that ensures the density of the leaves and provide two applications of this criterion. The first one is a classification of the dynamical behavior of the leaves of F M when M is Prym eigenform locus in genus 3 and the second provides the first examples of dense isoperiodic leaves in the stratum H(2, 1, 1).
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hal-02463945 , version 1 (02-02-2020)

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  • HAL Id : hal-02463945 , version 1

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Florent Ygouf. A criterion for density of the isoperiodic leaves in rank 1 affine invariant orbifolds. 2020. ⟨hal-02463945⟩

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