25 citations · 40 across the 17 of their papers we have counts for
19 papers
Quantitative finiteness of monic characters of knots
Taehee Kim, Takayuki Morifuji
Dunfield, Friedl, and Jackson showed that if the -character variety of a knot has an irreducible curve component that contains the character of an irreducible re…
Algebraic properties of twisted Alexander polynomial and Reidemeister torsion of torus knots
Takayuki Morifuji, Anh T. Tran
In this paper we prove that every coefficient of twisted Alexander polynomials of torus knots associated with irreducible -representations is an -val…
Twisted Alexander vanishing groups of knots
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
In our previous work, we introduced the notion of a twisted Alexander vanishing (TAV) group, defined as a finite group for which the corresponding twisted Alexander polynomial of a…
Twisted Alexander polynomials of a knot for group extensions
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
In this paper, we discuss twisted Alexander polynomials of a knot for group extensions of a finite group in two directions. Firstly, we provide a mod formula for the twisted Al…
Twisted Alexander vanishing order of knots II
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
In our previous work, we introduced the notion of the twisted Alexander vanishing order of knots, defined as the order of the smallest finite group for which the corresponding twis…
Twisted Alexander polynomials of knots associated to the regular representations of finite groups
Takayuki Morifuji, Masaaki Suzuki
The twisted Alexander polynomial of a knot is defined associated to a linear representation of the knot group. If there exists a surjective homomorphism of a knot group onto a fini…