Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers

DOI10.1063/1.5038650zbMath1433.14023arXiv1907.13000OpenAlexW3099110553MaRDI QIDQ4687691

Peter Zograf, Dmitry Korotkin

Publication date: 12 October 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13000

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Families, moduli of curves (analytic) (14H15)

Related Items (3)

Spaces of Abelian Differentials and Hitchin’s Spectral Covers ⋮ Discriminant and Hodge classes on the space of Hitchin covers ⋮ Preface: Introduction to special issue: In memory of Ludwig Faddeev

Cites Work

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• Isomonodromic tau function on the space of admissible covers
• Stable bundles and integrable systems
• Donagi-Markman cubic Hitchin systems
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Determinants of Cauchy-Riemann operators on a Riemann surface
• The real analytic theory of Teichmüller space
• On the density of Strebel differentials
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Symplectic geometry of the moduli space of projective structures in homological coordinates
• Critical loci for Higgs bundles
• Theta functions on Riemann surfaces
• Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
• Strata of abelian differentials and the Teichmüller dynamics
• 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
• The Self-Duality Equations on a Riemann Surface
• ON PERIODS OF QUADRATIC DIFFERENTIALS
• Kernel functions, analytic torsion, and moduli spaces
• Spectral Covers
• Strata of $k$-differentials
• DONAGI–MARKMAN CUBIC FOR THE GENERALIZED HITCHIN SYSTEM
• Tau function and the Prym class
• Isomonodromic tau-function of Hurwitz Frobenius manifolds and its applications

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