A NOTE ON NON-CLASSICAL VIRTUAL KNOTS

By Toshimasa Kishino, Shin Satoh. 2004

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Virtual knot theory-unsolved problems (2005, unknown): “…[17] [18] [19] [20] [22] [23] [24] [25] [26] [31] [33] [34] [36] [37] [38] [39] [40] [41] [43] [50] [51] [55] [58] [59] [60] [61] [62] [64] [65] [67] [68] [70] [72] [73] [74] [75] [76] [78] [79] [80] [81] [82] [84] [86] [87] [88] [83] [90] [93] [94] [95] [96] [97] [98] [99] [100] [101] [102]…”
Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles (2002, methodology): “We computed the number of colorings of Kishino-type knots (see, for example, [1, 13, 28] for q = 15, s = 4, t = 11, and u = 2, 4, 7, 8, 11, 13, 14.”
A Sequence of Degree One Vassiliev Invariants for Virtual Knots (2008, background): “A famous virtual knot that is not homotopic to a classical knot is Kishino’s knot [6], see Figure 5.”
Virtual Braids (2004, background): “Counterexamples to this conjecture exist in the virtual domain.”