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Rank two affine submanifolds in \(\mathcal H(2,2)\) and \(\mathcal H(3,1)\)

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Publication:321678
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DOI10.2140/gt.2016.20.2837zbMath1370.32006arXiv1501.03303OpenAlexW4299316005MaRDI QIDQ321678

David Aulicino, Duc-Manh Nguyen

Publication date: 14 October 2016

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03303


zbMATH Keywords

translation surfaces\(\mathrm{GL}(2, R)\)-orbit closuresaffine submanifoldsmoduli spaces of differentials


Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)


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\(\mathrm{GL}_2\mathbb{R}\) orbit closures in hyperelliptic components of strata ⋮ Non-Existence and Finiteness Results for Teichmüller Curves in Prym Loci ⋮ High rank invariant subvarieties ⋮ A criterion for density of the isoperiodic leaves in rank one affine invariant orbifolds ⋮ Nonarithmetic affine invariant orbifolds in \({\mathcal{H}}^{{odd}}(2,2)\) and \({\mathcal{H}}(3,1)\) ⋮ Full-rank affine invariant submanifolds ⋮ Rank 2 affine manifolds in genus \(3\) ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Existence of closed geodesics through a regular point on translation surfaces



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