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Harikae–Nakanishi–Uchida conjecture on $(2,2)$ -move equivalence
Harikae–Nakanishi–Uchida conjecture. Every link is $(2,2)$ -move equivalent to a trivial link.
openknot-theory link-equivalence tangle-moves
04
Conjecture on reducing links using (2,2)-moves and sixth-power braid moves
A link is a disjoint union of circles in $S^3$ . A $7(2,2)$ -move is a $(2,2)$ -move or its mirror image, and a $(\sigma_1\sigma_2)^6$ move is the local move associated with the sixth…
openbraid-groups knot-theory tangle-moves
05

Harikae–Nakanishi–Uchida conjecture on (2,2)(2,2)(2,2)-move equivalence