3 papers
hep-th2020
A new symmetry of the colored Alexander polynomial
V. Mishnyakov, A. Sleptsov, N. Tselousov
We present a new conjectural symmetry of the colored Alexander polynomial, that is the specialization of the quantum invariant widely known as the colored HOMFLY-…
hep-th2019
Perturbative analysis of the colored Alexander polynomial and KP soliton -functions
V. Mishnyakov, A. Sleptsov
In this paper we study the group theoretic structures of colored HOMFLY polynomials in a specific limit. The group structures arise in the perturbative expansion of Chern-S…
hep-th2018
Colored Alexander polynomials and KP hierarchy
A. Mironov, S. Mironov, V. Mishnyakov +2
We discuss the relation between knot polynomials and the KP hierarchy. Mainly, we study the scaling 1-hook property of the coloured Alexander polynomial: $\mathcal{A}^\mathcal{K}_R…