%0 Journal Article
%T Virtual Knots and Links
%A Louis Kauffman
%A Vassily Olegovich Manturov
%J Mathematics
%D 2005
%I arXiv
%X 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: We prove, using a 3-dimensional topology approach that if a connected sum of two virtual knots $K_{1}$ and $K_{2}$ is trivial, then so are both $K_{1}$ and $K_{2}$. We establish an algorithm, using Haken-Matveev technique, for recognizing virtual knots. This paper may be read as both an introduction and as a research paper.
%U http://arxiv.org/abs/math/0502014v3