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math-ph2025
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…
math-ph2022
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…
math-ph2018★ 1 cited
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…