RECURSION FOR MASUR-VEECH VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS

DOI10.1017/S1474748020000638MaRDI QIDQ5094239

Maxim E. Kazaryan

Publication date: 2 August 2022

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10422

zbMATH Keywords

KP hierarchyHodge integralsMasur-Veech volumes

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Coverings of curves, fundamental group (14H30) Relationships between algebraic curves and physics (14H81) Combinatorial aspects of algebraic geometry (05E14)

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Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials. With an appendix by Gaëtan Borot, Alessandro Giacchetto and Danilo Lewanski ⋮ Uniform lower bound for intersection numbers of \(\psi\)-classes

Cites Work

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• Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves
• KP hierarchy for Hodge integrals
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• Invertible cohomological field theories and Weil-Petersson volumes
• Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
• Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials
• Masur-Veech volumes of quadratic differentials and their asymptotics
• Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
• Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP^1
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS

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