23 citations · 257 across the 67 of their papers we have counts for
68 papers
Dehn filling and the knot group I: Realization Property
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
Each -Dehn filling of the exterior of a knot in produces a -manifold , and induces an epimorphism from the knot group to …
On a group whose generalized torsion elements are torsion elements
Tetsuya Ito
We show that a group whose generalized torsion elements are torsion elements (which we call a -group) is torsion-by- group, an extension of torsion group by a group…
Special alternating knots with sufficiently many twist regions have no chirally cosmetic surgeries
Tetsuya Ito
We show that a special alternating knot with sufficiently large number (more than ) of twist regions has no chirally cosmetic surgeries, a pair of Dehn surgeries producing orie…
Invariants of weakly successively almost positive links
Tetsuya Ito, Alexander Stoimenow
As an extension of positive and almost positive diagrams and links, we study two classes of links we call successively almost positive and weakly successively almost positive links…
On constraints for knots to admit chirally cosmetic surgeries and their calculations
Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito
We discuss various constraints for knots in to admit chirally cosmetic surgeries, derived from invariants of 3-manifolds, such as, the quantum -invariant, the rank o…
Tesselating a Pascal-like tetrahedron for the subdivision of high order tetrahedral finite elements
Mark W. Lohry
Three-dimensional order nodal Lagrangian tetrahedral finite elements ( elements) can be generated using Pascal's tetrahedron where each node in 3D eleme…
Successively almost positive links
Tetsuya Ito
As an extension of positive or almost positive diagrams and links, we introduce a notion of successively almost positive diagrams and links, and good successively almost positive d…
An obstruction of Gordian distance one and cosmetic crossings for genus one knots
Tetsuya Ito
We give an obstruction for genus one knots , to have the Gordian distance one by using the th coefficient of the HOMFLT polynomials. As an application, we give a new con…
A remark on a finiteness of purely cosmetic surgeries
Tetsuya Ito
By estimating the Turaev genus or the dealternation number, which leads to an estimate of knot floer thickness, in terms of the genus and the braid index, we show that a knot i…
Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures
Tetsuya Ito
We give a rational surgery formula for the Casson-Walker invariant of a 2-component link in which is a generalization of Matveev-Polyak's formula. As application, we give m…
Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial
Tetsuya Ito
We prove the cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial. We also prove the conjecture for genus one knots with trivial Alexander polynom…
A quantitative Birman-Menasco finiteness theorem and its application to crossing number
Tetsuya Ito
Birman-Menasco proved that there are finitely many knots having a given genus and braid index. We give a quantitative version of Birman-Menasco finiteness theorem, an estimate of t…
A note on knot fertility
Tetsuya Ito
We show that a knot whose minimum crossing number is even and greater than is not fertile; there exists a knot with crossing number less than such that is…
Generalized torsion and Dehn filling
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
A generalized torsion element is a non-trivial element such that some non-empty finite product of its conjugates is the identity. We construct a generalized torsion element of the…
On homogeneous quasipositive links
Tetsuya Ito
We discuss when homogeneous quasipositive links are positive. In particular, we show that a homogeneous diagram of a quasipositive link whose number of Seifert circles is equal to…
A note on HOMFLY polynomial of positive braid links
Tetsuya Ito
For a positive braid link, a link represented as a closed positive braids, we determine the first few coefficients of its HOMFLY polynomial in terms of geometric invariants such as…
Twist left-veering open books, overtwistedness, looseness and virtual looseness
Tetsuya Ito, Keiko Kawamuro
We introduce twist left-veering mapping classes of punctured surfaces. We prove that a twist left-veering open book supports an overtwisted contact structure and determine when the…
A non-degenerate exchange move always produces infinitely many non-conjugate braids
Tetsuya Ito
We show that if a link has a closed -braid representative admitting non-degenerate exchange move, an exchange move that does not obviously preserve the conjugacy class, …
A note on chirally cosmetic surgery on cable knots
Tetsuya Ito
We show that a -cable of a non-trivial knot does not admit chirally cosmetic surgery for , or with additional assumptions. In particular, we show that $(p…
Generalized torsion and decomposition of 3-manifolds
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
A nontrivial element in a group is a generalized torsion element if some nonempty finite product of its conjugates is the identity. We prove that any generalized torsion element in…
Positivities of knots and links and the defect of Bennequin inequality
Jesse Hamer, Tetsuya Ito, Keiko Kawamuro
We discuss relations among various positivities of knots and links, such as strong quasipositivity and quasipositivity. We give several pieces of supporting evidence for conjectura…
On the fractional Dehn twist coefficients of branched coverings
Tetsuya Ito, Keiko Kawamuro
We discuss how the fractional Dehn twist coefficient behaves under a fully ramified branched covering of an open book, and give applications to both topological and contact 3-manif…
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…
Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial
Tetsuya Ito
We show that the zeroth coefficient of the cables of the HOMFLY polynomial (colored HOMFLY polynomials) does not distinguish mutants. This makes a sharp contrast with the total HOM…