Connected components of strata of residueless meromorphic differentials

DOI10.1007/s10711-024-00956-6zbMATH Open1548.14098MaRDI QIDQ6623099

Myeongjae Lee

Publication date: 23 October 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

translation surfacesmeromorphic differentialsmoduli of differentials

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Families, moduli of curves (analytic) (14H15) Dynamical systems over complex numbers (37F99)

Cites Work

• 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
• Counting saddle connections in flat surfaces with poles of higher order
• Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
• Towards a classification of connected components of the strata of \(k\)-differentials
• Connected components of the strata of the moduli space of meromorphic differentials
• Principal boundary of moduli spaces of abelian and quadratic differentials
• Moduli space of meromorphic differentials with marked horizontal separatrices
• Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces
• Measure bound for translation surfaces with short saddle connections
• Connected components of the strata of the moduli spaces of quadratic differentials
• Spin Structures and Quadratic forms on Surfaces
• Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}

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