3 papers
math.GT2026
Detecting non-admissibility of quandles via colorings
Katsunori Arai, Ryoya Kai
A quandle is an algebraic system whose axioms are motivated by Reidemeister moves in knot theory. A typical example is a conjugation quandle arising from a group. A quandle is said…
math.GT2025
Metrics for quandles
Kohei Iwamoto, Ryoya Kai, Yuya Kodama
A quandle is an algebraic system originating in knot theory, which can be regarded as a generalization of the conjugation of groups. This structure naturally defines two subgroups…
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…