8 citations · 32 across the 10 of their papers we have counts for
10 papers
BKP-Affine Coordinates and Emergent Geometry of Generalized Brézin-Gross-Witten Tau-Functions
Zhiyuan Wang, Chenglang Yang, Qingsheng Zhang
Following Zhou's framework, we consider the emergent geometry of the generalized Brézin-Gross-Witten models whose partition functions are known to be a family of tau-functions of t…
Kac-Schwarz Operators of Type , Quantum Spectral Curves, and Spin Hurwitz Numbers
Ce Ji, Zhiyuan Wang, Chenglang Yang
Given a tau-function of the BKP hierarchy satisfying , we discuss the relation between its BKP-affine coordinates on the isotropic Sato Grassmannian and its BKP-wave…
Connected -Point Functions of Diagonal -BKP Tau-Functions, and Spin Double Hurwitz Numbers
Zhiyuan Wang, Chenglang Yang
We derive an explicit formula for the connected -point functions associated to an arbitrary diagonal tau-function of the -BKP hierarchy using computation of neutral fermi…
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected -Point Functions, and Double Hurwitz Numbers
Zhiyuan Wang, Chenglang Yang
We derive an explicit formula for the connected -point functions associated to an arbitrary diagonal tau-function of the 2d Toda lat…
BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic -Point Functions
Zhiyuan Wang, Chenglang Yang
We derive a formula for the connected -point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-…
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…
On affine coordinates of the tau-function for open intersection numbers
Zhiyuan Wang
In Alexandrov's work \cite{al2, al3} it has been shown that the extended partition function introduced by Buryak in \cite{bu, bu2} is a tau-function of the KP…
Fourier-Like Transforms of Stable Graphs and Holomorphic Anomaly Equations
Zhiyuan Wang, Jian Zhou
In this paper we develop a theory of Fourier-like transforms on the space of stable graphs. In particular, we introduce a duality theory of stable graphs. As an application, we der…
Orbifold Euler Characteristics of
Zhiyuan Wang, Jian Zhou
We solve the problem of the computation of the orbifold Euler characteristics of $\Mbar_{g,n}$. We take the works of Harer-Zagier \cite{hz} and Bini-Harer \cite{bh} as our starting…
A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves
Zhiyuan Wang, Jian Zhou
We present a unified approach to holomorphic anomaly equations and some well-known quantum spectral curves. We develop a formalism of abstract quantum field theory based on the dia…