23 citations · 257 across the 67 of their papers we have counts for
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Topological formula of the loop expansion of the colored Jones polynomials
Tetsuya Ito
We give a topological formula of the loop expansion of the colored Jones polynomials by using identification of generic quantum sl2 representation with homological representations.…
On the self-linking number of transverse links
Tetsuya Ito, Keiko Kawamuro
We review a braid theoretic self-linking number formula and study its applications.
Actions of the n-strand braid groups on the free group of rank n which are similar to the Artin representation
Tetsuya Ito
We classify an action of the -strand braid group on the free group of rank which is similar to the Artin representation in the sense that the -th generator of $B_…
Isolated orderings on amalgamated free products
Tetsuya Ito
We show that an amalgamated free product admits a discrete isolated ordering, under some assumptions of and . This generalizes the author's previous construction…
A kernel of a braid group representation yields a knot with trivial knot polynomials
Tetsuya Ito
We show that a non-trivial, non-central normal subgroup of the braid groups contains a braid whose closure is a hyperbolic knot with arbitrary large genus. This shows that non-fait…
Garside-theoretic analysis of Burau representations
Matthieu Calvez, Tetsuya Ito
We establish relations between both the classical and the dual Garside structures of the braid group and the Burau representation. Using the classical structure, we formulate a non…
Overtwisted discs in planar open books
Tetsuya Ito, Keiko Kawamuro
Using open book foliations we show that an overtwisted disc in a planar open book can be put in a topologically nice position. As a corollary, we prove that a planar open book whos…