Resurgent asymptotics of Jackiw–Teitelboim gravity and the nonperturbative topological recursion
Jackiw–Teitelboim dilaton quantum gravity localizes on a double-scaled random-matrix
model, whose perturbative free energy is an asymptotic series. Understanding the resurgent …
model, whose perturbative free energy is an asymptotic series. Understanding the resurgent …
xy duality in topological recursion for exponential variables via quantum dilogarithm
A Hock - SciPost Physics, 2024 - scipost.org
For a given spectral curve, the theory of topological recursion generates two different
families $\omega_ {g, n} $ and $\omega_ {g, n}^\vee $ of multi-differentials, which are for …
families $\omega_ {g, n} $ and $\omega_ {g, n}^\vee $ of multi-differentials, which are for …
Les Houches lecture notes on topological recursion
V Bouchard - arXiv preprint arXiv:2409.06657, 2024 - arxiv.org
You may have seen the words" topological recursion" mentioned in papers on matrix
models, Hurwitz theory, Gromov-Witten theory, topological string theory, knot theory …
models, Hurwitz theory, Gromov-Witten theory, topological string theory, knot theory …
Les Houches lecture notes on moduli spaces of Riemann surfaces
A Giacchetto, D Lewański - arXiv preprint arXiv:2410.13273, 2024 - arxiv.org
In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces,
a fundamental concept in the theories of 2D quantum gravity, topological string theory, and …
a fundamental concept in the theories of 2D quantum gravity, topological string theory, and …
Can Transformers Do Enumerative Geometry?
B Hashemi, RG Corominas, A Giacchetto - arXiv preprint arXiv …, 2024 - arxiv.org
How can Transformers model and learn enumerative geometry? What is a robust procedure
for using Transformers in abductive knowledge discovery within a mathematician-machine …
for using Transformers in abductive knowledge discovery within a mathematician-machine …
Combinatorics and large genus asymptotics of the Br\'ezin--Gross--Witten numbers
J Guo, P Norbury, D Yang, D Zagier - arXiv preprint arXiv:2412.20388, 2024 - arxiv.org
In this paper, we study combinatorial and asymptotic properties of some interesting rational
numbers called the Br\'ezin--Gross--Witten (BGW) numbers, which can be represented as …
numbers called the Br\'ezin--Gross--Witten (BGW) numbers, which can be represented as …
Length spectrum of large genus random metric maps
S Barazer, A Giacchetto, M Liu - arXiv preprint arXiv:2312.10517, 2023 - arxiv.org
We study the length of short cycles on uniformly random metric maps (also known as ribbon
graphs) of large genus using a Teichm\" uller theory approach. We establish that, as the …
graphs) of large genus using a Teichm\" uller theory approach. We establish that, as the …
The factorial growth of topological recursion
We show that the $ n $-point, genus-$ g $ correlation functions of topological recursion on
any regular spectral curve with simple ramifications grow at most like $(2g-2+ n)! $ as …
any regular spectral curve with simple ramifications grow at most like $(2g-2+ n)! $ as …
The structure of Hurwitz numbers with fixed ramification profile and varying genus
N Do, J He, H Robertson - arXiv preprint arXiv:2409.06655, 2024 - arxiv.org
In 1891, Hurwitz introduced the enumeration of genus $ g $, degree $ d $, branched covers
of the Riemann sphere with simple ramification over prescribed points and no branching …
of the Riemann sphere with simple ramification over prescribed points and no branching …
arXiv: Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
Jackiw-Teitelboim dilaton-quantum-gravity localizes on a double-scaled random-matrix
model, whose perturbative free energy is an asymptotic series. Understanding the resurgent …
model, whose perturbative free energy is an asymptotic series. Understanding the resurgent …