On Nonabelian Theories and Abelian Differentials

DOI10.1007/978-3-642-00873-3_12zbMath1183.37110OpenAlexW53281872MaRDI QIDQ3401699

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Publication date: 1 February 2010

Published in: Differential Equations - Geometry, Symmetries and Integrability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00873-3_12

zbMATH Keywords

Gromov-Witten potentialNekrasov partition functionAbelian integralsToda systemsKorteweg-de Vries systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

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• Theory of nonlinear lattices
• Toda equations for Hurwitz numbers
• Virasoro symmetries of the extended Toda hierarchy
• The equivariant Toda lattice
• Gromov-Witten theory, Hurwitz theory, and completed cycles
• THE TOPOLOGICAL CP¹ MODEL AND THE LARGE-N MATRIX INTEGRAL
• TOPOLOGICAL σ MODELS AND LARGE N MATRIX INTEGRAL
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories

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