F-Manifolds with Eventual Identities, Bidifferential Calculus and Twisted Lenard-Magri Chains

DOI10.1093/imrn/rns172zbMath1325.35156arXiv1110.2461OpenAlexW2022901138MaRDI QIDQ5250727

Paolo Lorenzoni, Alessandro Arsie

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2461

zbMATH Keywords

\(F\)-manifoldsprincipal hierarchyintegrable system of hydrodynamic typeLenard-Magri chainsemi-Hamiltonian hierarchy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Other connections (53B15)

Related Items (6)

Purely non-local Hamiltonian formalism, Kohno connections and ∨-systems ⋮ Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds ⋮ From the Darboux-Egorov system to bi-flat \(F\)-manifolds ⋮ Reciprocal \(F\)-manifolds ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds ⋮ \(F\)-algebroids and deformation quantization via pre-Lie algebroids

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