Tau-functions on Hurwitz spaces

DOI10.1023/B:MPAG.0000022835.68838.56zbMath1049.32019arXivmath-ph/0202034MaRDI QIDQ1876636

Alexey Kokotov, Dmitry Korotkin

Publication date: 20 August 2004

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0202034

zbMATH Keywords

Riemann-Hilbert problemvariational formulasholomorphic differentialsholomorphic factorizationBergmann kernelBergmann and Wirtinger projective connectionBergmann and Wirtinger tau-functions of branched coveringbranched pointscovariant constant sectionselliptic coveringflat metric of Riemann surfacesholomorphic line bundles over Hurwitz spacesiso\-mo\-nodromic deformationsmetric of constant curvature \(-1\)modulus square of tau-functionsregularized Dirichlet integralregularized Liouville actionSchottky and Fuchsian uniformizationsSchwarzian connectiontau-function of a two-fold rational coveringWirtinger bidifferential

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differentials on Riemann surfaces (30F30)

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