6 citations · 39 across the 16 of their papers we have counts for
4 papers · 1 filter
Notes on constructions of knots with the same trace
Keiji Tagami
The -trace of a knot is the -manifold obtained from by attaching a -handle along the knot with -framing. In 2015, Abe, Jong, Luecke and Osoinach introduc…
A note on stabilization heights of fiber surfaces and the Hopf invariants
Keiji Tagami
In this paper, we focus on the Hopf invariant and give an alternative proof for the unboundedness of stabilization heights of fiber surfaces, which was firstly proved by Baader and…
On annulus presentations, dualizable patterns and RGB-diagrams
Keiji Tagami
The -trace of a knot is the -manifold represented by the -framing of the knot. In this manuscript, we survey methods constructing a pair of knots with diffeomorphic -tr…
Knots with infinitely many non-characterizing slopes
Tetsuya Abe, Keiji Tagami
Using the techniques on annulus twists, we observe that has infinitely many non-characterizing slopes, which affirmatively answers a question by Baker and Motegi. Furthermore…