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pro vyhledávání: '"Bouchard, Vincent"'
Autor:
Bouchard, Vincent
You may have seen the words "topological recursion" mentioned in papers on matrix models, Hurwitz theory, Gromov-Witten theory, topological string theory, knot theory, topological field theory, JT gravity, cohomological field theory, free probability
Externí odkaz:
http://arxiv.org/abs/2409.06657
When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightfor
Externí odkaz:
http://arxiv.org/abs/2309.01654
Given a spectral curve with exponential singularities (which we call a "transalgebraic spectral curve"), we extend the definition of topological recursion to include contributions from the exponential singularities in a way that is compatible with li
Externí odkaz:
http://arxiv.org/abs/2304.07433
In the first part of the paper we propose a different viewpoint on the theory of higher Airy structures (or Airy ideals) which may shed light on its origin. We define Airy ideals in the $\hbar$-adic completion of the Rees Weyl algebra, and show that
Externí odkaz:
http://arxiv.org/abs/2207.04336
Publikováno v:
In Journal of Geometry and Physics December 2024 206
Publikováno v:
Sel. Math. New Ser. 30, 33 (2024)
We identify Whittaker vectors for $\mathcal{W}_k(\mathfrak{g})$-modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundamental class in the equivariant cohomology of a suitable compactificati
Externí odkaz:
http://arxiv.org/abs/2104.04516
Autor:
Bouchard, Vincent, Mastel, Kieran
Publikováno v:
SciPost Phys. 14, 169 (2023)
Quantum $r$-Airy structures can be constructed as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras via restriction of twisted modules for the underlying Heisenberg algebra. In this paper we classify all such higher quantum Airy structures that aris
Externí odkaz:
http://arxiv.org/abs/2009.13047
Autor:
Bouchard, Vincent, Osuga, Kento
Publikováno v:
Lett Math Phys 111, 144 (2021)
We introduce the notion of $\mathcal{N}=1$ abstract super loop equations, and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard-Orantin top
Externí odkaz:
http://arxiv.org/abs/2007.13186