Harer-Zagier formulas for knot matrix models

Knot matrix models are defined so that the averages of characters are equal to knot polynomials. From this definition one can extract single trace averages and generation functions for them in the group rank – which generalize the celebrated Harer-Zagier formulas for Hermitian matrix model. We descr...

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Bibliographic Details
Main Authors: A. Morozov, A. Popolitov, Sh. Shakirov
Format: Article
Language:English
Published: Elsevier 2021-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321003105