19 citations · 70 across the 6 of their papers we have counts for
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Distinguishing Mutant Knots
L. Bishler, Saswati Dhara, T. Grigoryev +6
Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical and mathematical theories. One of the challenging pr…
Difference of mutant knot invariants and their differential expansion
L. Bishler, Saswati Dhara, T. Grigoryev +6
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of , which are large enough to distinguish between them. These mut…
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-…
Multiplicity-free 6-j symbols: relations, asymptotics, symmetries
Victor Alekseev, Andrey Morozov, Alexey Sleptsov
A closed form expression for multiplicity-free quantum 6-j symbols (MFS) was proposed in arXiv:1302.5143 for symmetric representations of , which are the simplest class…
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…
New symmetries for the 6-j symbols from the Eigenvalue conjecture
Andrey Morozov, Alexey Sleptsov
In the present paper we discuss the eigenvalue conjecture, suggested in 2012, in the particular case of . The eigenvalue conjecture provides a certain symmetry for Racah…