The modified Family B detection conjecture
The modified Family B detection conjecture
Let be the modified family of virtual knot diagrams illustrated in the paper. Let denote the -strand bracket polynomial. The modified Family B conjecture. is a non-classical virtual knot diagram and is not detected by the fundamental group or the -strand bracket polynomial unless . The claim concerns the modified family introduced after the analysis of Family B; its status is unresolved in the supplied text.
Sources & referencesView supporting material
Primary source
H. A. Dye, “Virtual knots undetected by 1 and 2-strand bracket polynomials”, arXiv:math/0402308 (2004).
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