ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
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Publication:5221485
DOI10.1017/fmp.2020.2zbMath1436.32055arXiv1705.05190OpenAlexW3100845877MaRDI QIDQ5221485
Elise Goujard, Peter Zograf, Anton Zorich, Vincent Delecroix
Publication date: 26 March 2020
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05190
Enumeration in graph theory (05C30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Differentials on Riemann surfaces (30F30)
Related Items (15)
Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Cycles in random meander systems ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Counting lattice points in moduli spaces of quadratic differentials ⋮ Meanders, zero numbers and the cell structure of Sturm global attractors ⋮ Masur-Veech volumes of quadratic differentials and their asymptotics ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials ⋮ Uniform lower bound for intersection numbers of \(\psi\)-classes ⋮ Masur–Veech volume of the gothic locus ⋮ Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials ⋮ Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics ⋮ Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials ⋮ Connected components of strata of abelian differentials over Teichmüller space ⋮ Holomorphic quadratic differentials in Teichmüller theory
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