منابع مشابه
Filamentations for Virtual Links
Abstract. In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non-trivial (see [2]). A virtual knot diagram is non-classical if its related flat virtual knot diagram is non-trivial. Hence filamentations can be used to detect non-classical virtual knots. We extend these fi...
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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...
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Properties of polynomial invariants ∆i for oriented virtual links are established. The effects of taking mirror images and reversing orientation of the link diagram are described. The relationship between ∆0(u, v) and an invariant of F. Jaeger, L. Kauffman, H. Saleur and J. Sawollek is discussed.
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The virtual genus of a virtual satellite link is equal to that of its companion.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2019
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216519500809