The boundary of an affine invariant submanifold
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Publication:2407546
DOI10.1007/s00222-017-0722-8zbMath1378.37069arXiv1508.01446OpenAlexW2963021122MaRDI QIDQ2407546
Maryam Mirzakhani, Alex Wright
Publication date: 6 October 2017
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.01446
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Stratified sets (58A35)
Related Items (20)
The algebraic hull of the Kontsevich-Zorich cocycle ⋮ Semisimplicity and rigidity of the Kontsevich-Zorich cocycle ⋮ \(\mathrm{GL}_2\mathbb{R}\)-invariant measures in marked strata: generic marked points, Earle-Kra for strata and illumination ⋮ \(\mathrm{GL}_2\mathbb{R}\) orbit closures in hyperelliptic components of strata ⋮ The boundary of linear subvarieties ⋮ Principal boundary of moduli spaces of abelian and quadratic differentials ⋮ High rank invariant subvarieties ⋮ Periodic orbits in the thin part of strata ⋮ Full-rank affine invariant submanifolds ⋮ Rank 2 affine manifolds in genus \(3\) ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Measure bound for translation surfaces with short saddle connections ⋮ Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum ⋮ Compactification of strata of abelian differentials ⋮ Existence of closed geodesics through a regular point on translation surfaces ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES ⋮ Marked points on translation surfaces ⋮ Teichm\"uller dynamics in the eyes of an algebraic geometer ⋮ The WYSIWYG compactification ⋮ Equations of linear subvarieties of strata of differentials
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