3 papers
math.GT2025
Groups versus quandle-like invariants of 3-manifolds
Luc Ta
Risandles are nonassociative algebraic structures recently introduced to construct invariants of 3-manifolds. In this note, we show that the categories of groups and nonempty, fait…
math.GT2025
Enumeration of virtual quandles up to isomorphism
Luc Ta
Virtual racks and virtual quandles are nonassociative algebraic structures based on the Reidemeister moves of virtual knots. In this note, we enumerate virtual dihedral quandles an…
math.GT2025
Good involutions of conjugation subquandles
Luc Ta
Posed by Taniguchi, the classification of quandles with good involutions is a difficult question with applications to surface-knot theory. We address this question for subquandles…