T. Ito

activity

20222026

most citedSatellite fully positive braid links are braided satellite of fully positive braid links

1 citations · 1 across the 9 of their papers we have counts for

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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…