Marked points on translation surfaces

Apisa, Paul¹ ; Wright, Alex²

¹ Department of Mathematics, Yale University, New Haven, CT, United States
² Department of Mathematics, University of Michigan, Ann Arbor, MI, United States

Geometry & topology, Tome 25 (2021) no. 6, pp. 2913-2961.

Résumé

We show that all ${GL}^{+}\left(2,ℝ\right)$ equivariant point markings over orbit closures of translation surfaces arise from branched covering constructions and periodic points, completely classify such point markings over strata of quadratic differentials, and give applications to the finite blocking problem.

Détail

DOI : 10.2140/gt.2021.25.2913

Classification : 32G15, 37F30
Keywords: translation surfaces, abelian differentials, Teichmüller dynamics

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