Quantization of Harer-Zagier formulas

Abstract

We derive the analogues of the Harer-Zagier formulas for single- and double-trace correlators in the q-deformed Hermitian Gaussian matrix model. This fully describes single-trace correlators and opens a road to $q$-deformations of important matrix models properties, such as genus expansion and Wick theorem.

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Cited by in corpus (7)

• Harer-Zagier formulas for knot matrix models
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• Genus expansion of matrix models and $\hslash$ expansion of KP hierarchy
• The "Null-A" superintegrability for monomial matrix models
• On refined Chern-Simons and refined ABJ matrix models
• Topological string amplitudes and Seiberg-Witten prepotentials from the counting of dimers in transverse flux
• $q$-Pearson pair and moments in $q$-deformed ensembles