17 citations · 28 across the 4 of their papers we have counts for
4 papers
Hunt for 3-Schur polynomials
A. Morozov, N. Tselousov
This paper describes our attempt to understand the recent success of Na Wang in constructing the 3-Schur polynomials, associated with the plane partitions. We provide a rather deta…
On an alternative stratification of knots
E. Lanina, A. Popolitov, N. Tselousov
We introduce an alternative stratification of knots: by the size of lattice on which a knot can be first met. Using this classification, we find ratio of unknots and knots with mor…
Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed
A. Morozov, N. Tselousov
For a peculiar family of double braid knots there is a remarkable factorization formula for the coefficients of the differential (cyclotomic) expansion (DE), which nowadays is wide…
Evolution properties of the knot's defect
A. Morozov, N. Tselousov
The defect of differential (cyclotomic) expansion for colored HOMFLY-PT polynomials is conjectured to be invariant under any antiparallel evolution and change linearly with the evo…