On the topology of \(\mathcal{H}(2)\)

DOI10.4171/GGD/237zbMath1314.57025arXiv1003.0864MaRDI QIDQ399428

Duc-Manh Nguyen

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0864

zbMATH Keywords

Riemann surfacetranslation surface

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Related Items

Translation surfaces and the curve graph in genus two

Cites Work

• The Torelli groups for genus 2 and 3 surfaces
• Closed trajectories for quadratic differentials with an application to billiards
• Braid groups and Hodge theory
• Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two
• Geometry and spectra of compact Riemann surfaces
• Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
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