4 papers
Differential hierarchy and additional grading of knot polynomials
S. Arthamonov, A. Mironov, A. Morozov
Colored knot polynomials possess a peculiar Z-expansion in certain combinations of differentials, which depends on the representation. The coefficients of this expansion are functi…
Genus expansion of HOMFLY polynomials
A. Mironov, A. Morozov, A. Sleptsov
In the planar limit of the 't Hooft expansion, the Wilson-loop average in 3d Chern-Simons theory (i.e. the HOMFLY polynomial) depends in a very simple way on representation (the Yo…
Torus HOMFLY as the Hall-Littlewood Polynomials
A. Mironov, A. Morozov, Sh. Shakirov
We show that the HOMFLY polynomials for torus knots T[m,n] in all fundamental representations are equal to the Hall-Littlewood polynomials in representation which depends on m, and…
Interplay between MacDonald and Hall-Littlewood expansions of extended torus superpolynomials
A. Mironov, A. Morozov, Sh. Shakirov +1
In arXiv:1106.4305 extended superpolynomials were introduced for the torus links T[m,mk+r], which are functions on the entire space of time variables and, at expense of reducing th…