1 citations · 1 across the 1 of their papers we have counts for
5 papers · 1 filter
The ghost character of the (4,5)-torus knot and its applications
Fumikazu Nagasato, Shinnosuke Suzuki
We show that the (4,5)-torus knot admits exactly one ghost character. We then show that this ghost character provides the following two important results. (1) It is known…
Trace-free characters and abelian knot contact homology II
Fumikazu Nagasato, Shinnosuke Suzuki
We show that the - and -torus knots admit ghost characters. Consequently, these knots provide counterexamples to Ng's conjecture, which proposes an isomorphism betwee…
Trace-free characters and abelian knot contact homology I
Fumikazu Nagasato
We study the structure underlying Ng's conjecture, which relates the degree abelian knot contact homology of a knot to the coordinate ring of the -charact…
On minimality of two-bridge knots
Fumikazu Nagasato, Masaaki Suzuki, Anh T. Tran
A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $\mathfra…
Finiteness of a section of the -character variety of knot groups
Fumikazu Nagasato
We show that for any knot there exist only finitely many irreducible metabelian characters in the -character variety of the knot group, and the number is given ex…