Tau function and moduli of meromorphic quadratic differentials

DOI10.3842/SIGMA.2022.001zbMath1479.14036arXiv2108.01419OpenAlexW4206759571MaRDI QIDQ2073666

Dmitry Korotkin, Peter Zograf

Publication date: 3 February 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.01419

zbMATH Keywords

moduli spacesquadratic differentialstau function

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30)

Cites Work

• Unnamed Item
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• Theta functions on Riemann surfaces
• Hodge and Prym tau functions, Strebel differentials and combinatorial model of \({\mathcal{M}}_{g,n} \)
• A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces
• Tau functions, Prym-Tyurin classes and loci of degenerate differentials
• Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula
• Tau function and moduli of differentials
• Infinitesimal deformations of nodal stable curves
• Geometry of Algebraic Curves
• Bergman Tau-Function: From Einstein Equations and Dubrovin-Frobenius Manifolds to Geometry of Moduli Spaces
• Tau function and the Prym class

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