Blobbed topological recursion: properties and applications

DOI10.1017/S0305004116000323zbMath1396.14031arXiv1502.00981MaRDI QIDQ5360424

Gaëtan Borot, Sergey Shadrin

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00981

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between algebraic curves and physics (14H81) Deformations of analytic structures (32G99)

Related Items (30)

Blobbed topological recursion ⋮ Spectral statistics of Dirac ensembles ⋮ Nested Catalan tables and a recurrence relation in noncommutative quantum field theory ⋮ An algebraic approach to a quartic analogue of the Kontsevich model ⋮ Cut-and-join equation for monotone Hurwitz numbers revisited ⋮ Explicit closed algebraic formulas for Orlov-Scherbin \(n\)-point functions ⋮ Blobbed topological recursion of the quartic Kontsevich model. I: Loop equations and conjectures ⋮ Exact solution of the \(\Phi_2^3\) finite matrix model ⋮ Orbifolds and exact solutions of strongly-coupled matrix models ⋮ Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy ⋮ Perturbative and geometric analysis of the quartic Kontsevich model ⋮ Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture ⋮ Double scaling limits of Dirac ensembles and Liouville quantum gravity ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Quantum curves from refined topological recursion: the genus 0 case ⋮ From topological recursion to wave functions and PDEs quantizing hyperelliptic curves ⋮ Complete solution of the LSZ model via topological recursion ⋮ Generalised ordinary vs fully simple duality for \(n\)-point functions and a proof of the Borot-Garcia-Failde conjecture ⋮ The ``Null-A superintegrability for monomial matrix models ⋮ Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewański conjecture ⋮ Higher Airy structures and topological recursion for singular spectral curves ⋮ A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT ⋮ Super quantum Airy structures ⋮ Simple maps, Hurwitz numbers, and topological recursion ⋮ Modular functors, cohomological field theories, and topological recursion ⋮ Special cases of the orbifold version of Zvonkine's \(r\)-ELSV formula ⋮ Blobbed topological recursion for the quartic melonic tensor model ⋮ \(\mathcal{N}=1\) super topological recursion ⋮ From scalar fields on quantum spaces to blobbed topological recursion ⋮ From noncommutative geometry to random matrix theory

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