Non-realizability of the spun Kishino knot
Non-realizability of the spun Kishino knot
Let be the Kishino virtual knot, and let denote its spun virtual -torus obtained by the construction . A virtual knot is realizable if it is represented by a classical knot. Spun Kishino non-realizability conjecture. is not realizable. The preceding results show that has the group and quandle of the unknot but a nontrivial biquandle; alternatively, it could represent a nonclassically realizable virtual knotted torus, so its realizability remains unresolved.
Sources & referencesView supporting material
Primary source
Blake Winter, “Virtual, Welded, and Ribbon Links in Arbitrary Dimensions”, arXiv:1407.0421 (2014).
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