Geodesic
Virtual Knots and Links
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 114-133

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This paper is an introduction to the subject of virtual knot theory and presents a discussion of some new specific theorems about virtual knots. The new results are as follows: Using a 3-dimensional topology approach, we prove 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 for recognizing virtual links that is based on the Haken–Matveev technique. 
@article{TM_2006_252_a10,
     author = {L. H. Kaufman and V. O. Manturov},
     title = {Virtual {Knots} and {Links}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {114--133},
     publisher = {mathdoc},
     volume = {252},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_252_a10/}
}
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L. H. Kaufman; V. O. Manturov. Virtual Knots and Links. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 114-133. http://geodesic.mathdoc.fr/item/TM_2006_252_a10/