3 papers
math.GT2014
On colorability of knots by rotations, Torus knot and PL trochoid
Ayumu Inoue
The set consisting of all rotations of the Euclidean plane is equipped with a quandle structure. We show that a knot is colorable by this quandle if and only if its Alexander polyn…
math.GT2012
Quasi-triviality of quandles for link-homotopy
Ayumu Inoue
We introduce the notion of quasi-triviality of quandles and define homology of quasi-trivial quandles. Quandle cocycle invariants are invariant under link-homotopy if they are asso…
math.GT2010
A symmetric motion picture of the twist-spun trefoil
Ayumu Inoue
With the aid of a computer, we provide a motion picture of the twist-spun trefoil which exhibits the periodicity well.