Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
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Publication:2354353
DOI10.1007/s00220-015-2379-8zbMath1344.14032arXiv1404.3402OpenAlexW3100948659WikidataQ58009636 ScholiaQ58009636MaRDI QIDQ2354353
Publication date: 13 July 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.3402
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie algebras and superalgebras to integrable systems (17B80)
Related Items (24)
On KP-integrable Hurwitz functions ⋮ 2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula ⋮ Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles ⋮ 4D limit of melting crystal model and its integrable structure ⋮ From \(r\)-spin intersection numbers to Hodge integrals ⋮ Ramifications of Hurwitz theory, KP integrability and quantum curves ⋮ Open intersection numbers, Kontsevich-Penner model and cut-and-join operators ⋮ Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮ Matrix model for the stationary sector of Gromov-Witten theory of \(\mathbf{P}^1\) ⋮ Open intersection numbers and free fields ⋮ Weighted Hurwitz numbers and topological recursion: An overview ⋮ Darboux transformations of the modified BKP hierarchy by fermionic approach ⋮ Quantum curve and bilinear fermionic form for the orbifold Gromov-Witten theory of \(\mathbb{P} [r\)] ⋮ Kac-Schwarz operators of type \(B\), quantum spectral curves, and spin Hurwitz numbers ⋮ The ordered exponential representation of GKM using the \(W_{1 + \infty}\) operator ⋮ KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model ⋮ Weighted Hurwitz numbers and topological recursion ⋮ From Kontsevich-Witten to linear Hodge integrals via Virasoro operators ⋮ \(q\)-difference Kac-Schwarz operators in topological string theory ⋮ Virasoro constraints and polynomial recursion for the linear Hodge integrals ⋮ Open intersection numbers, matrix models and MKP hierarchy ⋮ Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies ⋮ Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators ⋮ Connecting the Kontsevich-Witten and Hodge tau-functions by the \(\widehat{GL(\infty)}\) operators
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