3 papers
math.GT2023
-knots with the same knot group but different knot quandles
Kokoro Tanaka, Yuta Taniguchi
We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the analysis, we also give…
math.GT2023
Twisted Alexander matrices of quandles associated with a certain Alexander pair
Yuta Taniguchi
Ishii and Oshiro introduced the notion of an -twisted Alexander matrix, which is a quandle version of a twisted Alexander matrix and defined an invariant of finitely presented q…
math.GT2023
Good involutions of generalized Alexander quandles
Yuta Taniguchi
Quandles with good involutions, which are called symmetric quandles, can be used to define invariants of unoriented knots and links. In this paper, we determine the necessary and s…