A group action on Losev-Manin cohomological field theories

DOI10.5802/aif.2791zbMath1275.53085arXiv0909.0800OpenAlexW1633403110MaRDI QIDQ2391371

Sergey Shadrin, Dimitri Zvonkine

Publication date: 31 July 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0800

zbMATH Keywords

cohomological field theoryFrobenius manifoldsKadomtsev-Petviashvili hierarchycommutativity equationGivental's group actionLosev-Manin compactification

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (8)

Givental graphs and inversion symmetry ⋮ Generalized cohomological field theories in the higher order formalism ⋮ Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials ⋮ Semisimple flat F-manifolds in higher genus ⋮ On the cohomology of the Losev-Manin moduli space ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ A remark on deformations of Hurwitz Frobenius manifolds ⋮ The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces

Cites Work

• Twisted \(r\)-spin potential and Givental's quantization
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• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Quantum cohomology and crepant resolutions: a conjecture
• Invariance of tautological equations. I: Conjectures and applications
• Invariance of tautological equations II: Gromov-Witten theory
• Tautological relations and the $r$-spin Witten conjecture
• BCOV theory via Givental group action on cohomological field theories
• The n-component KP hierarchy and representation theory
• New moduli spaces of pointed curves and pencils of flat connections.
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