23 citations · 257 across the 67 of their papers we have counts for
5 papers · 1 filter
Open Book Foliations
Tetsuya Ito, Keiko Kawamuro
We study open book foliations on surfaces in 3-manifolds, and give applications to contact geometry of dimension 3. We prove a braid-theoretic formula of the self-linking number of…
Construction of isolated left orderings via partially central cyclic amalgamation
Tetsuya Ito
We give a new method to construct isolated left orderings of groups whose positive cones are finitely generated. Our construction uses an amalgamated free product of two groups hav…
Non-left-orderable double branched coverings
Tetsuya Ito
We develop a method to show the fundamental group of the double branched covering of a link is not left-orderable by introducing the notion of the coarse presentation. As in the us…
The classification of Wada-type representations of braid groups
Tetsuya Ito
We give a classification of Wada-type representations of the braid groups, and solutions of a variant of the set-theoretical Yang-Baxter equation adapted to the free-product group…
Dehornoy-like left orderings and isolated left orderings
Tetsuya Ito
We introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy ordering of the braid groups. Under a weak assumption which we call Property F, we show t…