Fumikazu Nagasato

activity

20062017

most citedOn the geometry of the slice of trace--free SL(2,C)-characters of a knot group

4 citations · 9 across the 6 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.GT2017★ 1 cited

The ghost character of the (4,5)-torus knot and its applications

Fumikazu Nagasato, Shinnosuke Suzuki

We show that the (4,5)-torus knot $T_{4, 5}$ admits exactly one ghost character. We then show that this ghost character provides the following two important results. (1) It is known…

math.GT2017★ 1 cited

Trace-free characters and abelian knot contact homology II

Fumikazu Nagasato, Shinnosuke Suzuki

We show that the $(4, 5)$ - and $(5, 6)$ -torus knots admit ghost characters. Consequently, these knots provide counterexamples to Ng's conjecture, which proposes an isomorphism betwee…

math.GT2017

Trace-free characters and abelian knot contact homology I

Fumikazu Nagasato

We study the structure underlying Ng's conjecture, which relates the degree $0$ abelian knot contact homology of a knot $K$ to the coordinate ring of the $S L_{2} (C)$ -charact…