Virtual Knots and Links

Louis Kauffman; Vassily Olegovich Manturov

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arXiv · math/0502014

Virtual Knots and Links

Louis Kauffman·Vassily Olegovich Manturov

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Abstract

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.

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BibTeX RIS

Louis Kauffman, Vassily Olegovich Manturov. 2005-05-28. Virtual Knots and Links. https://arxiv.org/abs/math/0502014

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