From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators

DOI10.1007/s11005-013-0655-0zbMath1342.37066arXiv1111.5349OpenAlexW3102152651WikidataQ58009647 ScholiaQ58009647MaRDI QIDQ2441439

Alexander Alexandrov

Publication date: 24 March 2014

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

Full work available at URL: https://arxiv.org/abs/1111.5349

zbMATH Keywords

Virasoro algebramatrix modelsHurwitz numberstau-functions

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

From \(r\)-spin intersection numbers to Hodge integrals ⋮ Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy ⋮ KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model ⋮ From Kontsevich-Witten to linear Hodge integrals via Virasoro operators ⋮ Virasoro constraints and polynomial recursion for the linear Hodge integrals ⋮ Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators ⋮ Connecting the Kontsevich-Witten and Hodge tau-functions by the \(\widehat{GL(\infty)}\) operators ⋮ Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra

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