23 citations · 257 across the 67 of their papers we have counts for
4 papers · 2 filters
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.
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…
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…