KP integrability of triple Hodge integrals. III: Cut-and-join description, KdV reduction, and topological recursions

DOI10.1007/s00220-024-05151-yMaRDI QIDQ6640605

Publication date: 20 November 2024

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

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Curves in algebraic geometry (14Hxx) Projective and enumerative algebraic geometry (14Nxx)

Cites Work

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The structure of 2D semi-simple field theories
Virasoro constraints and polynomial recursion for the linear Hodge integrals
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KP hierarchy for Hodge integrals
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Localization of virtual classes
Fermionic approach to weighted Hurwitz numbers and topological recursion
Topological recursion on the Bessel curve
Hodge integrals and Gromov-Witten theory
Invertible cohomological field theories and Weil-Petersson volumes
Hodge-GUE correspondence and the discrete KdV equation
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KP integrability of triple Hodge integrals. I: From Givental group to hierarchy symmetries
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KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model
Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
Open intersection numbers and free fields
The topological vertex
Cut-and-join description of generalized Brezin-Gross-Witten model
A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT
Unitary matrix integrals in the framework of the generalized Kontsevich model.
CUT-AND-JOIN OPERATOR REPRESENTATION FOR KONTSEVICH–WITTEN TAU-FUNCTION
Hurwitz numbers, matrix models and enumerative geometry
Topological recursion with hard edges
Bouchard-Klemm-Marino-Pasquetti conjecture for ℂ³
Topological recursion in enumerative geometry and random matrices
Transitive factorisations into transpositions and holomorphic mappings on the sphere
KP hierarchy for Hurwitz-type cohomological field theories
A new cohomology class on the moduli space of curves
Higher Airy structures and topological recursion for singular spectral curves
Higher Airy structures, \( \mathcal{W}\) algebras and topological recursion

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