23 citations · 257 across the 67 of their papers we have counts for
5 papers · 1 filter
Visualizing overtwisted discs in open books
Tetsuya Ito, Keiko Kawamuro
We give an alternative proof of a theorem of Honda-Kazez-Matić that every non-right-veering open book supports an overtwisted contact structure. We also study two types of examples…
Curve diagram for Artin group of type B
Tetsuya Ito
We develop a theory of curve diagrams for Artin groups of type B. We define the winding number labeling and the wall crossing labeling of curve diagrams, and show that these labeli…
Operations on open book foliations
Tetsuya Ito, Keiko Kawamuro
We study b-arc foliation change and exchange move of open book foliations which generalize the corresponding operations in braid foliation theory. We also define a bypass move as a…
Framing functions and strengthened version of Dehn's lemma
Tetsuya Ito
We give a lower estimate of the framing function of knots, and prove a strengthened version of Dehn's lemma conjectured by Greene-Wiest.
On surface links whose link groups are abelian
Tetsuya Ito, Inasa Nakamura
We study surface links whose link groups are free abelian, and construct various stimulating and highly non-trivial examples of such surface links.