Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces

DOI10.1134/S008154380904018XzbMath1242.53114arXiv0911.4212OpenAlexW2963551049MaRDI QIDQ600701

Oleg I. Mokhov

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4212

zbMATH Keywords

linear system\(k\)-potential submanifoldspartial differentail equation

Mathematics Subject Classification ID

Local submanifolds (53B25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Poisson geometry of the statistical Frobenius manifold ⋮ The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research

Cites Work

• Compatible Poisson structures of hydrodynamic type and the equations of associativity in two-dimensional topological field theory
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva)
• Theory of submanifolds, associativity equations in 2D topological quantum field theories, and Frobenius manifolds
• Nonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies, and the associativity equations
• Duality in a special class of submanifolds and Frobenius manifolds
• Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
• On compatible potential deformations of Frobenius algebras and associativity equations
• Systems of integrals in involution and the associativity equations
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