Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes
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Publication:3389477
DOI10.24033/ast.1107zbMath1464.05004arXiv1903.10904OpenAlexW3008161697MaRDI QIDQ3389477
Elise Goujard, Vincent Delecroix, Anton Zorich, Philip Engel, Peter Zograf
Publication date: 11 May 2021
Published in: Astérisque (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.10904
square-tiled surfacemoduli space of abelian differentialsMasur-Veech volumeRauzy diagramseparatrix diagram
Permutations, words, matrices (05A05) Asymptotic enumeration (05A16) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)
Related Items (15)
Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\) ⋮ Statistics of Square-Tiled Surfaces: Symmetry and Short Loops ⋮ Asymptotic identities for additive convolutions of sums of divisors ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Strata ofp‐origamis ⋮ Contribution of \(n\)-cylinder square-tiled surfaces to Masur-Veech volume of \(\mathcal{H}(2g-2)\) ⋮ Partitions, multiple zeta values and the \(q\)-bracket ⋮ Masur-Veech volumes of quadratic differentials and their asymptotics ⋮ Large genus asymptotics for volumes of strata of abelian differentials ⋮ Volumes of strata of moduli spaces of quadratic differentials: getting explicit values ⋮ Origami edge-paths in the curve graph ⋮ Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES ⋮ Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs
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