7 citations · 19 across the 9 of their papers we have counts for
11 papers
Picture-valued parity-biquandle bracket II. Examples
Denis P. Ilyutko, Vassily O. Manturov
In [3] we constructed the parity-biquandle bracket valued in {\em pictures} (linear combinations of -valent graphs). We gave no example of classical links such that the parity-b…
On boundary behavior of mappings on Riemannian manifolds in terms of prime ends
D. P. Ilyutko, E. A. Sevost'yanov
A boundary behavior of ring mappings on Riemannian manifolds, which are generalization of quasiconformal mappings by Gehring, is investigated. In terms of prime ends, there are obt…
Picture-valued biquandle bracket
Denis P. Ilyutko, Vassily O. Manturov
In [14], the second named author constructed the bracket invariant [.] of virtual knots valued in pictures (linear combinations of virtual knot diagrams with some crossing informat…
A parity map of framed chord diagrams
Denis Ilyutko, Vassily Manturov
We consider framed chord diagrams, i.e. chord diagrams with chords of two types. It is well known that chord diagrams modulo 4T-relations admit Hopf algebra structure, where the mu…
On local properties of one class of mappings on Riemannian manifolds
D. P. Ilyutko, E. A. Sevost'yanov
The present paper is devoted to questions located at the junction of the theory of space quasiconformal mappings and Riemannian surfaces. Theorems on local behavior of one class of…
Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory
Roger Fenn, Denis P. Ilyutko, Louis H. Kauffman +1
This paper is a concise introduction to virtual knot theory, coupled with a list of research problems in this field.