18 citations · 36 across the 8 of their papers we have counts for
8 papers
Invariant Tensors Formulae via Chord Diagrams
R. Campoamor-Stursberg, V. O. Manturov
We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra , as well as arbitrary representation in terms of ro…
Minimal diagrams of virtual links: II
Vassily Olegovich Manturov
In the present paper we bring together minimality conditions proposed in previous two papers and present some new minimality conditions for classical and virtual knots and links.
Minimal diagrams of classical knots
Vassily Olegovich Manturov
We show that if a classical knot diagram satisfies a certain combinatorial condition then it is minimal with respect to the number of classical crossings. This statement is proved…
Virtual Knots and Links
Louis Kauffman, Vassily Olegovich Manturov
This paper is an introduction to the subject of virtual knot theory, combined with a discussion of some specific new theorems about virtual knots. The new results are as follows: W…
Minimal diagrams of classical and virtual links
Vassily Olegovich Manturov
We prove that a virtual link diagrams satisfying two conditions on the Khovanov homology is minimal, that is, there is no virtual diagram representing the same link with smaller nu…
The Khovanov Complex for Virtual Links
Vassily Olegovich Manturov
In the present paper, we construct the Khovanov homology theory for virtual links. Besides the direct approach with Z_{2} coefficients we also describe the Khovanov homology for fr…