From the Darboux-Egorov system to bi-flat \(F\)-manifolds

DOI10.1016/j.geomphys.2013.03.023zbMath1283.53077arXiv1205.2468OpenAlexW1489393736MaRDI QIDQ390852

Paolo Lorenzoni, Alessandro Arsie

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2468

zbMATH Keywords

Frobenius manifoldsPainlevé VIbi-flat \(F\)-manifoldDarboux-Egorov systemPDEs of hydrodynamic type

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (12)

Regular non-semisimple Dubrovin–Frobenius manifolds ⋮ Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds ⋮ Reciprocal \(F\)-manifolds ⋮ Regular flat structure and generalized Okubo system ⋮ 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 ⋮ Semisimple flat F-manifolds in higher genus ⋮ Flat structure on the space of isomonodromic deformations ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ 3-dimensional \(F\)-manifolds ⋮ A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of \(B_n\)

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