Kimihiko Motegi

activity

20052026

most citedNon-characterizing slopes for hyperbolic knots

16 citations · 63 across the 30 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.GT2017★ 13 cited

Seifert vs slice genera of knots in twist families and a characterization of braid axes

Kenneth L. Baker, Kimihiko Motegi

Twisting a knot $K$ in $S^{3}$ along a disjoint unknot $c$ produces a twist family of knots ${K_{n}}$ indexed by the integers. Comparing the behaviors of the Seifert genus $g (K_{n})$ a…

math.GT2017★ 1 cited

Nontrivial elements in a knot group which are trivialized by Dehn fillings

Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito

Let K be a nontrivial knot in the 3-sphere with the exterior E(K), and u in G(K), the fundamental group of E(K), a slope element represented by an essential simple closed curve on…