Virtual Knots and Links
Kauffman, Louis · Manturov, Vassily Olegovich
Original · EN
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 K₁ and K₂ is trivial, then so are both K₁ and K₂. 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.
English translation
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