1 citations · 1 across the 9 of their papers we have counts for
10 papers
A partial classification of 3-dimensional clasp number two, genus two fibered knots
Tetsuya Ito
The 3-dimensional clasp number of a knot is the minimum number of clasp singularities of clasp disk, a singular immersed disk bounding whose singular set consists o…
Weak rectangular diagrams, multi-crossing number, and arc index
Tetsuya Ito
For a non-split multi-crossing diagram of a link we show that holds. Here is the arc index and is the number…
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…
A slice Cromwell inequality of homogeneous links
Tetsuya Ito
Cromwell proved that the minimum -degree of the HOMFLY polynomial of homogeneous link is bounded above by , where is the maximum Euler characteristic of Seife…
Knots whose braided satellite have the same HOMFLY polynomial up to given -degrees
Tetsuya Ito
For a given knot and , we construct infinitely many mutually distinct hyperbolic knots such that the -satellites of and have the same HOMFLY polynom…
Genus non-increasing totally positive unknotting number
Tetsuya Ito
The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are…
Satellite fully positive braid links are braided satellite of fully positive braid links
Tetsuya Ito
A link in is a fully positive braid link if it is the closure of a positive braid that contains at least one full-twist. We show that a fully positive braid link is a satel…
A non-torus positive 2-bridge knot does not admit chirally cosmetic surgeries
Tetsuya Ito
We prove that a positive two-bridge knot other than the torus knot does not admit chirally cosmetic surgeries, a pair of Dehn surgeries along distinct slopes yielding orien…
Errata: A note on orientation-reversing distance one surgeries on non-null-homologous knots
Tetsuya Ito
The author would like to report an error of [T. Ito, Proc. Amer. Math. Soc. 152 (2024), pp. 4515--4519.] (version 1 of the arXiv:2311.08676) )
A note on knot fertility II
Tetsuya Ito
A knot is called -fertile if for every prime knot whose crossing number is less than or equal to , there exists an -crossing diagram of such that one can…