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math.GT2026
An embedding of spherical quandles into Lie groups
Ayu Suzuki, Kentaro Yonemura
We construct smooth embeddings of spherical quandles into conjugation quandles of Lie groups, where the ambient Lie groups can be taken to be orthogonal, Spin, or Pin groups. Moreo…
math.GT2022
Quandles over a hyperboloid of one sheet and the longitudinal mapping knot invariant for
Kentaro Yonemura
This paper aims to consider algebraic structures of quandles defined over a hyperboloid of one sheet and compute the related longitudinal mapping for .
math.GT2021
Note on spherical quandles
Kentaro Yonemura
This paper aims to give a one-to-one correspondence between -representations of knot groups and colorings of knots with spherical quandles and give a geometric meaning of th…