238 citations · 1.8k across the 56 of their papers we have counts for
52 papers
Towards tangle calculus for Khovanov polynomials
A. Anokhina, E. Lanina, A. Morozov
We provide new evidence that the tangle calculus and "evolution" are applicable to the Khovanov polynomials for families of long braids inside the knot diagram. We show that jumps…
Spectral curves and -representations of matrix models
A. Mironov, A. Morozov
We explain how the spectral curve can be extracted from the -representation of a matrix model. It emerges from the part of the -operator, which is linear in tim…
Invariants of knots and links at roots of unity
Liudmila Bishler, Andrei Mironov, Andrey Morozov
We present a comprehensive classification of invariants of knots and links associated with irreducible representations of \uqslN{}, when the parameter of quantization is a root…
Virasoro versus superintegrability. Gaussian Hermitian model
A. Mironov, V. Mishnyakov, A. Morozov +1
Relation between the Virasoro constraints and KP integrability (determinant formulas) for matrix models is a lasting mystery. We elaborate on the claim that the situation is improv…
Connection between cut-and-join and Casimir operators
A. Mironov, A. Morozov, A. Zhabin
We study cut-and-join operators for spin Hurwitz partition functions. We provide explicit expressions for these operators in terms of derivatives in -variables without straightf…
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…