2 citations · 5 across the 3 of their papers we have counts for
4 papers
Two-dimensional topological theories, rational functions and their tensor envelopes
Mikhail Khovanov, Victor Ostrik, Yakov Kononov
We study generalized Deligne categories and related tensor envelopes for the universal two-dimensional cobordism theories described by rational functions, recently defined by Sazda…
Pursuing quantum difference equations II: 3D-mirror symmetry
Yakov Kononov, Andrey Smirnov
Consider a pair of symplectic varieties dual with respect to 3D-mirror symmetry. The K-theoretic limit of the elliptic duality interface is an equivariant K-theory class of the pro…
The 2-leg vertex in K-theoretic DT theory
Ya. Kononov, A. Okounkov, A. Osinenko
K-theoretic Donaldson-Thomas counts of curves in toric and many related threefolds can be computed in terms of a certain canonical 3-valent tensor, the K-theoretic equivariant vert…
Factorization of colored knot polynomials at roots of unity
Ya. Kononov, A. Morozov
From analysis of a big variety of different knots we conclude that at q which is an root of unity, q^{2m}=1, HOMFLY polynomials in symmetric representations [r] satisfy recursion i…