Liouville equation and Schottky problem

DOI10.1007/BF00750813zbMath0844.14015arXivhep-th/9310066OpenAlexW2051716742MaRDI QIDQ1899843

Marco Matone

Publication date: 29 August 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9310066

zbMATH Keywords

quantum gravitystring theoryKP hierarchyLiouville equationRiemann-Schottky problemJacobians of compact Riemann surfacestheta-nullwerte

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Methods of quantum field theory in general relativity and gravitational theory (83C47) Theta functions and curves; Schottky problem (14H42)

Related Items (1)

Higher genus superstring amplitudes from the geometry of moduli space

Cites Work

• Unnamed Item
• Chern forms and the Riemann tensor for the moduli space of curves
• Characterization of Jacobian varieties in terms of soliton equations
• A global operator formalism on higher genus Riemann surfaces: \(b\)-\(c\) systems
• Theta functions on Riemann surfaces
• Some remarks on Teichmüller's space of Riemann surfaces
• LIOUVILLE THEORY: QUANTUM GEOMETRY OF RIEMANN SURFACES
• QUANTUM RIEMANN SURFACES, 2-D GRAVITY AND THE GEOMETRICAL ORIGIN OF MINIMAL MODELS
• UNIFORMIZATION THEORY AND 2D GRAVITY I: LIOUVILLE ACTION AND INTERSECTION NUMBERS
• Theta functions and non-linear equations
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• Kernel functions, analytic torsion, and moduli spaces

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