Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\)

DOI10.1016/j.physd.2011.09.011zbMath1322.37030arXiv1105.4508OpenAlexW2064208523MaRDI QIDQ1935154

Guido Carlet, Paolo Rossi, Andrea Brini

Publication date: 30 January 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4508

zbMATH Keywords

mirror symmetryintegrable hierarchiesGromov-Witten theoryAblowitz-Ladik hierarchytwo-dimensional Toda hierarchy

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) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (9)

Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method ⋮ Toda hierarchies and their applications ⋮ Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations ⋮ Rational reductions of the 2D-Toda hierarchy and mirror symmetry ⋮ Double ramification cycles and integrable hierarchies ⋮ Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy ⋮ On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III

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