10 citations · 23 across the 7 of their papers we have counts for
6 papers · 1 filter
The identification of the extended refined open partition function and the Kontsevich-Penner matrix model
Gehao Wang
The open intersection theory has been initiated by R. Pandharipande, J. P. Solomon and R. J. Tessler. In the scope of matrix model theory, A. Buryak and R. J. Tessler have construc…
The ordered exponential representation of GKM using the operator
Gehao Wang
The generalized Kontsevich model (GKM) is a one-matrix model with arbitrary potential. Its partition function belongs to the KP hierarchy. When the potential is monomial, it is an…
From Kontsevich-Witten to linear Hodge integrals via Virasoro operators
Gehao Wang
We give a proof of Alexandrov's conjecture on a formula connecting the Kontsevich-Witten and Hodge tau-functions using only the Virasoro operators. This formula has been confirmed…
A connection between the Kontsevich-Witten and Brezin-Gross-Witten tau-functions
Gehao Wang
The Brezin-Gross-Witten (BGW) model is one of the basic examples in the class of non-eigenvalue unitary matrix models. The generalized BGW tau-function was constructed from a…
Virasoro constraints and polynomial recursion for the linear Hodge integrals
Shuai Guo, Gehao Wang
The Hodge tau-function is a generating function for the linear Hodge integrals. It is also a tau-function of the KP hierarchy. In this paper, we first present the Virasoro constrai…
Connecting the Kontsevich-Witten and Hodge tau-functions by the operators
Xiaobo Liu, Gehao Wang
In this paper, we present an explicit formula that connects the Kontsevich-Witten tau-function and the Hodge tau-function by differential operators belonging to the $\hat{GL(\infty…