Regular non-semisimple Dubrovin–Frobenius manifolds

DOI10.1063/5.0094580OpenAlexW4307892483MaRDI QIDQ5883841

Unnamed Author, Paolo Lorenzoni

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2202.07383

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Germs of analytic sets, local parametrization (32B10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (2)

Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds

Cites Work

• Unnamed Item
• From the Darboux-Egorov system to bi-flat \(F\)-manifolds
• 4-dimensional Frobenius manifolds and Painlevé VI
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• On the Lambert \(w\) function
• \(F\)-manifolds, multi-flat structures and Painlevé transcendents
• Flat structure on the space of isomonodromic deformations
• Regular flat structure and generalized Okubo system
• Deformations of non-semisimple Poisson pencils of hydrodynamic type
• Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI
• Regular F-manifolds: initial conditions and Frobenius metrics

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