T. Ito

activity

20242026

collaborators

5 papers

math.GT2026

A partial classification of 3-dimensional clasp number two, genus two fibered knots

Tetsuya Ito

The 3-dimensional clasp number $c l (K)$ of a knot $K$ is the minimum number of clasp singularities of clasp disk, a singular immersed disk bounding $K$ whose singular set consists o…

math.GT2025

Weak rectangular diagrams, multi-crossing number, and arc index

Tetsuya Ito

For a non-split multi-crossing diagram $D$ of a link $L$ we show that $α (L) - 2 \leq c_{2} (D) + \sum_{n > 2} (2 n - 4) c_{n} (D)$ holds. Here $α (L)$ is the arc index and $c_{n} (D)$ is the number…

math.GT2025

On the negative band number

Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro +1

We study the negative band number of braids, knots, and links using Birman, Ko, and Lee's left-canonical form of a braid. As applications, we characterize up to conjugacy strongly…

math.GT2025

A slice Cromwell inequality of homogeneous links

Tetsuya Ito

Cromwell proved that the minimum $v$ -degree of the HOMFLY polynomial of homogeneous link $L$ is bounded above by $1 - χ (L)$ , where $χ (L)$ is the maximum Euler characteristic of Seife…

math.GT2024

Knots whose braided satellite have the same HOMFLY polynomial up to given $z$ -degrees

Tetsuya Ito

For a given knot $K$ and $w > 0$ , we construct infinitely many mutually distinct hyperbolic knots ${K_{i}}$ such that the $P$ -satellites of $K$ and $K_{i}$ have the same HOMFLY polynom…

A partial classification of 3-dimensional clasp number two, genus two fibered knots

Weak rectangular diagrams, multi-crossing number, and arc index

On the negative band number

A slice Cromwell inequality of homogeneous links

Knots whose braided satellite have the same HOMFLY polynomial up to given z-degrees

Knots whose braided satellite have the same HOMFLY polynomial up to given $z$ -degrees