Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
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Publication:2006710
DOI10.1007/s00222-020-00969-4zbMath1446.14015arXiv1901.01785OpenAlexW3033723299MaRDI QIDQ2006710
Dawei Chen, Don Zagier, Martin Möller, Adrien Sauvaget
Publication date: 12 October 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.01785
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30)
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Cites Work
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- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Intersection theory on the moduli space of curves and the matrix Airy function
- Siegel measures
- Billiards in rectangles with barriers
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
- Volumes and Siegel-Veech constants of \({\mathcal{H}}(2G - 2)\) and Hodge integrals
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Gaussian limit for projective characters of large symmetric groups
- On the Kodaira dimension of the moduli space of curves
- The character of the infinite wedge representation
- Compactification of strata of abelian differentials
- Cohomology classes of strata of differentials
- Geometry of periodic regions on flat surfaces and associated Siegel-Veech constants
- Cylinder deformations in orbit closures of translation surfaces
- Counting Feynman-like graphs: quasimodularity and Siegel-Veech weight
- Large genus asymptotics for Siegel-Veech constants
- Principal boundary of moduli spaces of abelian and quadratic differentials
- The theta characteristic of a branched covering
- Partitions, quasimodular forms, and the Bloch-Okounkov theorem
- Asymptotic formulas on flat surfaces
- Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP^1
- Weil-Petersson volumes and intersection theory on the moduli space of curves
- The growth rate of trajectories of a quadratic differential
- On Obtaining a Positive Line Bundle from the Weil-Petersson Class
- Interesting Series Involving the Central Binomial Coefficient
- Ergodicity of billiards in polygons
- Quasimodularity and large genus limits of Siegel-Veech constants
- THE MODULI SPACE OF TWISTED CANONICAL DIVISORS
- Strata of $k$-differentials
- ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
- Theta characteristics of an algebraic curve
- Lagrange inversion
- Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
- Volumes of strata of abelian differentials and Siegel-Veech constants in large genera