6 citations · 39 across the 16 of their papers we have counts for
16 papers
Ribbon concordance and the minimality of tight fibered knots
Tetsuya Abe, Keiji Tagami
Agol proved that ribbon concordance forms a partial ordering on the set of knots in the -sphere. In this paper, we prove that all tight fibered knots are minimal in this partial…
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…
Flat plumbing basket, self-linking number and Thurston-Bennequin number
Keiji Tagami
A flat plumbing basket is a surface consisting a disk and finitely many bands which are contained in distinct pages of the trivial open book decomposition of . In t…
Flat plumbing basket and contact structure
Tetsuya Ito, Keiji Tagami
A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper, we examin…
On the Lagrangian fillability of almost positive links
Keiji Tagami
In this paper, we prove that a link which has an almost positive diagram with a certain condition is Lagrangian fillable.
On the maximal degree of the Khovanov homology
Keiji Tagami
It is known that the maximal homological degree of the Khovanov homology of a knot gives a lower bound of the minimal positive crossing number of the knot. In this paper, we show t…
Fibered knots with the same -surgery and the slice-ribbon conjecture
Tetsuya Abe, Keiji Tagami
Akbulut and Kirby conjectured that two knots with the same -surgery are concordant. In this paper, we prove that if the slice-ribbon conjecture is true, then the modified Akbulu…
The Rasmussen invariant, four-genus and three-genus of an almost positive knot are equal
Keiji Tagami
An oriented link is positive if it has a link diagram whose crossings are all positive. An oriented link is almost positive if it is not positive and has a link diagram with exactl…
Characterization of positive links and the -invariant for links
Tetsuya Abe, Keiji Tagami
We characterize positive links in terms of strong quasipositivity, homogeneity and the value of Rasmussen, Beliakova and Wehrli's -invariant. We also study almost positive links…
A Khovanov type invariant derived from an unoriented HQFT for links in thickened surfaces
Keiji Tagami
Two link diagrams on compact surfaces are strongly equivalent if they are related by Reidemeister moves and orientation preserving homeomorphisms of the surfaces. They are stably e…
The behavior of the maximal degree of the Khovanov homology under twisting
Keiji Tagami
In this paper, we study the behavior of the maximal homological degree of the non-zero Khovanov homology groups under twisting.
The maximal degree of the Khovanov homology of a cable link
Keiji Tagami
In this paper, we study the Khovanov homology of cable links. We first estimate the maximal homological degree term of the Khovanov homology of the (, )-torus link a…
Unoriented HQFT and its underlying algebra
Keiji Tagami
Turaev and Turner introduced a bijection between unoriented topological quantum field theories and extended Frobenius algebras. In this paper, we will show that there exists a bije…