56 citations · 642 across the 79 of their papers we have counts for
80 papers
Grothendieck's Dessins d'Enfants in a Web of Dualities. III
Di Yang, Jian Zhou
We identify the dessin partition function with the partition function of the Laguerre unitary ensemble (LUE). Combined with the result due to Cunden et al on the relationship betwe…
The Virasoro-like Algebra of a Frobenius Manifold
Si-Qi Liu, Di Yang, Youjin Zhang +1
For an arbitrary calibrated Frobenius manifold, we construct an infinite dimensional Lie algebra, called the Virasoro-like algebra, which is a deformation of the Virasoro algebra o…
Topological 1D Gravity, KP Hierarchy, and Orbifold Euler Characteristics of
Zhiyuan Wang, Jian Zhou
In this work we study the tau-function of the KP hierarchy specified by the topological 1D gravity. As an application, we present two types of algorithms to compute the or…
On Some Mathematics Related to the Interpolating Statistics
Jian Zhou
Motivated by fractional quantum Hall effects, we introduce a universal space of statistics interpolating Bose-Einstein statistics and Fermi-Dirac statistics. We connect the interpo…
A formalism of abstract quantum field theory of summation of fat graphs
Zhiyuan Wang, Jian Zhou
In this work we present a formalism of abstract quantum field theory for fat graphs and its realizations. This is a generalization of an earlier work for stable graphs. We define t…
Virasoro Constraints of Curves as Residues
Jian Zhou
Inspired by Eynard-Orantin topological recursions, we reformulate the Virasoro constraints for curves as residues of multilinear differentials. As applications they can be used to…