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math.GT2024
On the Euler characteristics for quandles
Ryoya Kai, Hiroshi Tamaru
A quandle is an algebraic system whose axioms generalize the algebraic structure of the point symmetries of symmetric spaces. In this paper, we give a definition of Euler character…
math.GT2024
On the quandles of isometries of the hyperbolic 3-space
Ryoya Kai
A quandle is an algebraic structure whose axioms are related to the Reidemeister moves used in knot theory. In this paper, we investigate the conjugate quandle of the orientation-p…