2 papers
math.GT2017
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…
math.GT2017
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…