Semisimple flat F-manifolds in higher genus

DOI10.1007/s00220-022-04450-6OpenAlexW3000136019MaRDI QIDQ2699720

Paolo Lorenzoni, Alessandro Arsie, Alexandr Buryak, Paolo Rossi

Publication date: 19 April 2023

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

Full work available at URL: https://arxiv.org/abs/2001.05599

zbMATH Keywords

Frobenius manifoldscohomological field theories

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (3)

Integrable systems of finite type from F-cohomological field theories without unit ⋮ Isomonodromic deformations along the caustic of a Dubrovin-Frobenius manifold ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds

Cites Work

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• Recursion relations for double ramification hierarchies
• Hypercommutative operad as a homotopy quotient of BV
• From the Darboux-Egorov system to bi-flat \(F\)-manifolds
• The structure of 2D semi-simple field theories
• BCFG Drinfeld-Sokolov hierarchies and FJRW-theory
• Dubrovin's duality for \(F\)-manifolds with eventual identities
• Givental action and trivialisation of circle action
• Coupled KdV equations with multi-Hamiltonian structures
• Frobenius manifolds: Isomonodromic deformations and infinitesimal period mappings
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Double ramification cycles and integrable hierarchies
• Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy
• \(F\)-manifolds, multi-flat structures and Painlevé transcendents
• Flat structure on the space of isomonodromic deformations
• Open WDVV equations and Virasoro constraints
• A group action on Losev-Manin cohomological field theories
• Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds
• Regular flat structure and generalized Okubo system
• \(F\)-manifolds with flat structure and Dubrovin's duality
• Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function
• Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI
• $F$-manifolds and integrable systems of hydrodynamic type
• Almost duality for Saito structure and complex reflection groups
• Flat F-manifolds, Miura invariants, and integrable systems of conservation laws
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
• Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity

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