108 citations · 148 across the 7 of their papers we have counts for
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On genus expansion of superpolynomials
A. Mironov, A. Morozov, A. Sleptsov +1
Recently it was shown that the (Ooguri-Vafa) generating function of HOMFLY polynomials is the Hurwitz partition function, i.e. that the dependence of the HOMFLY polynomials on repr…
Explicit computation of Drinfeld associator in the case of the fundamental representation of gl(N)
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We solve the regularized Knizhnik-Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict to the case of the fundamental representation of $…
Superpolynomials for toric knots from evolution induced by cut-and-join operators
P. Dunin-Barkowski, A. Mironov, A. Morozov +2
The colored HOMFLY polynomials, which describe Wilson loop averages in Chern-Simons theory, possess an especially simple representation for torus knots, which begins from quantum R…