FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
By T. Kanenobu. 2001
91 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/5d3ff877bb155f2dfff04265cd9107520a1f477e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Louis H. Kauffman
- Sofia Lambropoulou
- Sam Nelson
- Cody Armond
- Jacob Rasmussen
- Shelly L. Harvey
- Eun Soo Lee
- M. Hedden
In Discrete Mathematics and Combinatorics
In Geometry and Topology
- Louis H. Kauffman
- Sofia Lambropoulou
- Sam Nelson
- Zhiyun Cheng
- V. Manturov
- Hongzhu Gao
- Cody Armond
- Jacob Rasmussen
Citations in the corpus
- UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES (2000, background): “very knot unknotted is proven in [2] in terms of n-variations. In this paper we present a short combinatorial proof in terms of Gauss diagrams. The author has subsequently learned that Taizo Kanenobu [3] has a different combinatorial proof of this result using virtual braid moves. Theorem 1.Any Gauss”
- Virtual Braids (2004, background): “It is known that any classical knot can be unknotted in the virtual category if we allow both forbidden moves [14, 23].”
- Virtual knot theory-unsolved problems (2005, unknown): “See [2] [3] [4] [5] [9] [10] [11] [12] [8] [13] [16] [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]…”
- VIRTUAL BRAIDS AND THE L-MOVE (2005, background): “It is known that any classical knot can be unknotted in the virtual category if we allow both forbidden moves [17, 31].”