1 citations · 1 across the 2 of their papers we have counts for
4 papers
The knot quandle of the twist-spun trefoil is a central extension of a Schläfli quandle
Ayumu Inoue
A quandle is an algebraic system which excels at describing limited symmetries of a space. We introduce the concept of Schläfli quandles which are defined relating to chosen rotati…
On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles
Ayumu Inoue
We show that the structure of a fibered knot, as a fiber bundle, is reflected in its knot quandle. As an application, we discuss finiteness and equivalence of knot quandles of conc…
A subspecies of region crossing change, region freeze crossing change
Ayumu Inoue, Ryo Shimizu
We introduce a local move on a link diagram named a region freeze crossing change which is close to a region crossing change, but not the same. We study similarity and difference b…
Quandle and hyperbolic volume
Ayumu Inoue
We show that the hyperbolic volume of a hyperbolic knot is a quandle cocycle invariant. Further we show that it completely determines invertibility and positive/negative amphicheir…