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math.GT2026
Asymmetric L-space knots with arbitrary braid index
Keisuke Himeno, Masakazu Teragaito
The first examples of asymmetric L-space knots were found by Baker and Luecke. Among Baker-Luecke knots, the simplest one has braid index 12. Later, it turned out that there are ju…
math.GT2026
A condition of admissibility for generalized Alexander quandles
Katsunori Arai, Keisuke Himeno, Ryoya Kai +1
A typical example of a quandle is the conjugation quandle. A quandle is said to be admissible if it is isomorphic to a conjugation quandle. We study the admissibility problem for q…