Flat F-manifolds, F-CohFTs, and integrable hierarchies

DOI10.1007/s00220-021-04109-8zbMath1489.37083arXiv2012.05332OpenAlexW3165192285MaRDI QIDQ2244087

Paolo Rossi, Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni

Publication date: 11 November 2021

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

Full work available at URL: https://arxiv.org/abs/2012.05332

zbMATH Keywords

cohomological field theoryF-manifoldsdouble ramification hierarchy

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (6)

Integrable systems of finite type from F-cohomological field theories without unit ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds ⋮ \(F\)-algebroids and deformation quantization via pre-Lie algebroids ⋮ Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials ⋮ Super tau-covers of bihamiltonian integrable hierarchies ⋮ WDVV equations: symbolic computations of Hamiltonian operators

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