Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Giacchetto, Alessandro"'
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 matrix models. We begin by reviewing some basic results concerning
Externí odkaz:
http://arxiv.org/abs/2410.13273
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 $g \rightarrow \infty$, which is the expected growth rate. This provides
Externí odkaz:
http://arxiv.org/abs/2409.17838
How can Transformers model and learn enumerative geometry? What is a robust procedure for using Transformers in abductive knowledge discovery within a mathematician-machine collaboration? In this work, we introduce a new paradigm in computational enu
Externí odkaz:
http://arxiv.org/abs/2408.14915
We define F-topological recursion (F-TR) as a non-symmetric version of topological recursion, which associates a vector potential to some initial data. We describe the symmetries of the initial data for F-TR and show that, at the level of the vector
Externí odkaz:
http://arxiv.org/abs/2406.06304
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 genus tends to infinity, the length spectrum converges to a Poisson poin
Externí odkaz:
http://arxiv.org/abs/2312.10517
Autor:
Eynard, Bertrand, Garcia-Failde, Elba, Giacchetto, Alessandro, Gregori, Paolo, Lewański, Danilo
In this paper, we present a novel approach for computing the large genus asymptotics of intersection numbers. Our strategy is based on a resurgent analysis of the $n$-point functions of such intersection numbers, which are computed via determinantal
Externí odkaz:
http://arxiv.org/abs/2309.03143
We study the spin Gromov-Witten (GW) theory of $\mathbb{P}^1$. Using the standard torus action on $\mathbb{P}^1$, we prove that the associated equivariant potential can be expressed by means of operator formalism and satisfies the 2-BKP hierarchy. As
Externí odkaz:
http://arxiv.org/abs/2208.03259
We construct and study various properties of a negative spin version of the Witten $ r $-spin class. By taking the top Chern class of a certain vector bundle on the moduli space of twisted spin curves that parametrises $ r $-th roots of the anticanon
Externí odkaz:
http://arxiv.org/abs/2205.15621
Publikováno v:
Trans. Amer. Math. Soc. 377 (2024), 1069-1110
The Witten $r$-spin class defines a non-semisimple cohomological field theory. Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two semisimple directions of the associated Dubrovin--Frobenius manifold using the
Externí odkaz:
http://arxiv.org/abs/2203.16523
Publikováno v:
Algebraic Geom. 10.2 (2023) 130-147
We provide an intersection-theoretic formula for the Euler characteristic of the moduli space of smooth curves. This formula reads purely in terms of Hodge integrals and, as a corollary, the standard calculus of tautological classes gives a new short
Externí odkaz:
http://arxiv.org/abs/2112.11137