Isomonodromic tau function on the space of admissible covers

DOI10.1016/j.aim.2011.02.005zbMath1218.30119arXiv0912.3909OpenAlexW2963703593MaRDI QIDQ531811

Peter Zograf, Dmitry Korotkin, Alexey Kokotov

Publication date: 20 April 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3909

zbMATH Keywords

Hurwitz spaceFuchsian differential equationsFrobenius structureisomonodromic tau function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fano varieties (14J45) Families, moduli of curves (analytic) (14H15)

Related Items

Spectral determinants on Mandelstam diagrams ⋮ Symplectic geometry of the moduli space of projective structures in homological coordinates ⋮ Baker-Akhiezer spinor kernel and tau-functions on moduli spaces of meromorphic differentials ⋮ Hodge and Prym tau functions, Strebel differentials and combinatorial model of \({\mathcal{M}}_{g,n} \) ⋮ Periods of meromorphic quadratic differentials and Goldman bracket ⋮ On determinants of Laplacians on compact Riemann surfaces equipped with pullbacks of conical metrics by meromorphic functions ⋮ Discriminant circle bundles over local models of Strebel graphs and Boutroux curves ⋮ Moduli spaces of meromorphic functions and determinant of the Laplacian ⋮ The uniformization of the moduli space of principally polarized abelian 6-folds ⋮ Riemann-Hilbert problems for Hurwitz Frobenius manifolds ⋮ Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers ⋮ Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities ⋮ Tau function and moduli of meromorphic quadratic differentials ⋮ Tau functions, Prym-Tyurin classes and loci of degenerate differentials ⋮ On the Kodaira dimension of Hurwitz spaces

Cites Work

• Holonomic quantum fields. II: The Riemann-Hilbert problem
• Topological recursive relations in \(H^{2g}(\mathcal M_{g,n})\).
• On the Kodaira dimension of the moduli space of curves
• Theta functions on Riemann surfaces
• Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula
• A desingularization of the main component of the moduli space of genus-one stable maps into \(\mathbb{P}^{n}\)
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Kernel functions, analytic torsion, and moduli spaces
• Twisted Bundles and Admissible Covers
• Isomonodromic tau-function of Hurwitz Frobenius manifolds and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item