A short overview of the" Topological recursion"
B Eynard - arXiv preprint arXiv:1412.3286, 2014 - arxiv.org
This review is an extended version of the Seoul ICM 2014 proceedings. It is a short overview
of the" topological recursion", a relation appearing in the asymptotic expansion of many …
of the" topological recursion", a relation appearing in the asymptotic expansion of many …
Think globally, compute locally
V Bouchard, B Eynard - Journal of High Energy Physics, 2013 - Springer
A bstract We introduce a new formulation of the so-called topological recursion, that is
defined globally on a compact Riemann surface. We prove that it is equivalent to the …
defined globally on a compact Riemann surface. We prove that it is equivalent to the …
Abstract loop equations, topological recursion, and applications
We formulate a notion of abstract loop equations, and show that their solution is provided by
a topological recursion under some assumptions, in particular the result takes a universal …
a topological recursion under some assumptions, in particular the result takes a universal …
Reconstructing WKB from topological recursion
V Bouchard, B Eynard - Journal de l'Ecole polytechnique …, 2017 - numdam.org
We prove that the topological recursion reconstructs the WKB expansion of a quantum curve
for all spectral curves whose Newton polygons have no interior point (and that are smooth …
for all spectral curves whose Newton polygons have no interior point (and that are smooth …
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
Knot invariants and non-perturbative topological recursion Page 1 Quantum Topol. 6 (2015),
39–138 DOI 10.4171/QT/60 Quantum Topology © European Mathematical Society All order …
39–138 DOI 10.4171/QT/60 Quantum Topology © European Mathematical Society All order …
[图书][B] Higher Airy Structures, 𝒲 Algebras and Topological Recursion
We define higher quantum Airy structures as generalizations of the Kontsevich–Soibelman
quantum Airy structures by allowing differential operators of arbitrary order (instead of only …
quantum Airy structures by allowing differential operators of arbitrary order (instead of only …
The ABCD of topological recursion
JE Andersen, G Borot, LO Chekhov… - arXiv preprint arXiv …, 2017 - arxiv.org
Kontsevich and Soibelman reformulated and slightly generalised the topological recursion
of math-ph/0702045, seeing it as a quantization of certain quadratic Lagrangians in $ T^* V …
of math-ph/0702045, seeing it as a quantization of certain quadratic Lagrangians in $ T^* V …
Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers
R Belliard, S Charbonnier, B Eynard… - arXiv preprint arXiv …, 2021 - arxiv.org
Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial
models of moduli spaces of complex curves with boundaries in his proof of Witten's …
models of moduli spaces of complex curves with boundaries in his proof of Witten's …
Higher Airy structures and topological recursion for singular spectral curves
We give elements towards the classification of quantum Airy structures based on the W. glr/-
algebras at self-dual level based on twisted modules of the Heisenberg VOA of glr for twists …
algebras at self-dual level based on twisted modules of the Heisenberg VOA of glr for twists …
Topological recursion for fully simple maps from ciliated maps
G Borot, S Charbonnier, E Garcia-Failde - arXiv preprint arXiv:2106.09002, 2021 - arxiv.org
Ordinary maps satisfy topological recursion for a certain spectral curve $(x, y) $. We solve a
conjecture from arXiv: 1710.07851 that claims that fully simple maps, which are maps with …
conjecture from arXiv: 1710.07851 that claims that fully simple maps, which are maps with …