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math.GT2026
Two-numbers and Euler characteristics for quandles
Ryoya Kai, Akira Kubo, Hiroshi Tamaru
Quandles can be regarded as generalizations of symmetric spaces. In the theory of symmetric spaces developed by Chen and Nagano, there is an interesting relationship between the tw…
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
Homogeneous quandles with abelian inner automorphism groups and vertex-transitive graphs
Konomi Furuki, Hiroshi Tamaru
A quandle is an algebraic system originated in knot theory, and can be regarded as a generalization of symmetric spaces. The inner automorphism group of a quandle is defined as the…