Quasi-Frobenius algebras and their integrable \(N\)-parameter deformations generated by compatible \(N\times N\) metrics of constant Riemannian curvature

DOI10.1023/A:1024589204121zbMath1178.53091arXivmath/0209262OpenAlexW2964261605MaRDI QIDQ2654881

Oleg I. Mokhov

Publication date: 21 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209262

zbMATH Keywords

topological field theoryintegrable systemFrobenius manifoldFrobenius algebracompatible metricsassociativity equationsquasi-Frobenius algebraflat pencil of metricsconstant-curvature metricsintegrable deformation of an algebraquasi-Frobenius manifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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Pencils of compatible metrics and integrable systems

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