Isomonodromic tau-function of Hurwitz Frobenius manifolds and its applications

DOI10.1155/IMRN/2006/18746zbMath1098.53066arXivmath-ph/0310008OpenAlexW2020429884MaRDI QIDQ5479579

Alexey Kokotov, Dmitry Korotkin

Publication date: 10 July 2006

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0310008

zbMATH Keywords

Hurwitz spacecompact Riemann surfaceFrobenius structuresholomorphic factorization\(G\)-function of Frobenius manifoldsdeterminant of Laplacian in Poincaré metricfree energy of Hermitian two-matrix modelisomonodromic tau-fun\-c\-ti\-onJimbo-Miwa tau-functionre\-gu\-la\-ri\-zed Dirichlet integralRiemann-Hilbert problems with quasi-permutation monodromiesvariational formula on space of branched co\-ve\-rings

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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