Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI

DOI10.1093/imrn/rnt045zbMath1307.53073arXiv1207.5979OpenAlexW3105511483MaRDI QIDQ2878729

Paolo Lorenzoni

Publication date: 5 September 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5979

zbMATH Keywords

Darboux-Egorov systembi-flat F-manifoldPainleve VI

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Painlevé-type functions (33E17) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (12)

Regular non-semisimple Dubrovin–Frobenius manifolds ⋮ Bi-Hamiltonian structure of the oriented associativity equation ⋮ Complex reflection groups, logarithmic connections and bi-flat \(F\)-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 ⋮ Bäcklund transformations for certain rational solutions of Painlevé VI

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