Parabolic Whittaker functions and topological field theories. I.

DOI10.4310/CNTP.2011.v5.n1.a4zbMath1252.81115arXiv1002.2622OpenAlexW2963202875MaRDI QIDQ412794

Sergey V. Oblezin, Dimitri R. Lebedev, Anton A. Gerasimov

Publication date: 4 May 2012

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2622

zbMATH Keywords

mirror symmetryGromov-Witten invariantsToda chainquantum integrable systemsTQFTWhittaker functionsArchimedean Langlands duality

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) Topological field theories in quantum mechanics (81T45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Geometric Langlands program: representation-theoretic aspects (22E57) Mirror symmetry (algebro-geometric aspects) (14J33)

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