Marked points on translation surfaces (Q2058827)

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Language	Label	Description	Also known as
English	Marked points on translation surfaces	scientific article

Statements

scholarly article

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Marked points on translation surfaces (English)

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Geometry \& Topology

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publication date

10 December 2021

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full work available at URL

https://arxiv.org/abs/1708.03411

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zbMATH Keywords

translation surfaces

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abelian differentials

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Teichmüller dynamics

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MaRDI profile type

MaRDI publication profile

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\(\mathrm{GL}_2\mathbb{R}\)-invariant measures in marked strata: generic marked points, Earle-Kra for strata and illumination

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Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle

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Quadratic differentials in low genus: exceptional and non-varying strata

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Torsion Points on Abelian Etale Coverings of P 1 - {0, 1, ∞}

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The cuspidal torsion packet on the Fermat curve

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The algebraic hull of the Kontsevich-Zorich cocycle

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Billiards, quadrilaterals and moduli spaces

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Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space

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Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space

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Semisimplicity and rigidity of the Kontsevich-Zorich cocycle

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Splitting mixed Hodge structures over affine invariant manifolds

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The cuspidal torsion packet on hyperelliptic Fermat quotients

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Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity

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Modular Fibers and Illumination Problems

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Connected components of the moduli spaces of Abelian differentials with prescribed singularities

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Real multiplication through explicit correspondences

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Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed singu\-larities

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Connected components of the strata of the moduli spaces of quadratic differentials

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Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures

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Everything is illuminated

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Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials

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Teichmüller curves in genus two: Discriminant and spin

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Teichmüller curves in genus two: Torsion divisors and ratios of sines

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Cubic curves and totally geodesic subvarieties of moduli space

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The boundary of an affine invariant submanifold

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Full-rank affine invariant submanifolds

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Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve

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On the finite blocking property

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Finite blocking property versus pure periodicity

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Minimal sets for flows on moduli space

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Almost rational torsion points and the cuspidal torsion packet on Fermat quotient curves

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The field of definition of affine invariant submanifolds of the moduli space of abelian differentials

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Cylinder deformations in orbit closures of translation surfaces

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Identifiers

zbMATH Open document ID

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10.2140/gt.2021.25.2913

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2058827

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