43 citations · 147 across the 11 of their papers we have counts for
11 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…
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…
Data-driven model for hydraulic fracturing design optimization. Part II: Inverse problem
Viktor Duplyakov, Anton Morozov, Dmitriy Popkov +5
We describe a stacked model for predicting the cumulative fluid production for an oil well with a multistage-fracture completion based on a combination of Ridge Regression and CatB…
Morse-Smale surfaced diffeomorphisms with orientable heteroclinic
A. I. Morozov, O. V. Pochinka
In the present paper we consider preserving orientation Morse-Smale diffeomorphisms on surfaces. Using the methods of factorization and linearizing neighborhoods we prove that such…
Rectangular superpolynomials for the figure-eight knot
Ya. Kononov, A. Morozov
We rewrite the recently proposed differential expansion formula for HOMFLY polynomials of the knot in arbitrary rectangular representation as a sum over all Young s…
Are there p-adic knot invariants?
A. Morozov
We suggest to use the Hall-Littlewood version of Rosso-Jones formula to define the germs of -adic HOMFLY-PT polynomials for torus knots , which possess at least the $[m,n…
Knot invariants from Virasoro related representation and pretzel knots
D. Galakhov, D. Melnikov, A. Mironov +1
We remind the method to calculate colored Jones polynomials for the plat representations of knot diagrams from the knowledge of modular transformation (monodromies) of Virasoro con…
On possible existence of HOMFLY polynomials for virtual knots
Alexei Morozov, Andrey Morozov, Anton Morozov
Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently suggested generalization from N=2 to arbitrary N of the Kauffman-Khovanov calculus of…
The first-order deviation of superpolynomial in an arbitrary representation from the special polynomial
Anton Morozov
Like all other knot polynomials, the superpolynomials should be defined in arbitrary representation R of the gauge group in (refined) Chern-Simons theory. However, not a single exa…
Special colored Superpolynomials and their representation-dependence
Anton Morozov
We introduce the notion of "special superpolynomials" by putting q=1 in the formulas for reduced superpolynomials. In this way we obtain a generalization of special HOMFLY polynomi…