199 citations · 527 across the 27 of their papers we have counts for
18 papers · 1 filter
The Johnson-Morita theory for the handlebody group
Kazuo Habiro, Gwenael Massuyeau
The Johnson-Morita theory is an algebraic approach to the mapping class group of a surface, in which one considers its action on the successive nilpotent quotients of the fundament…
Double Johnson filtrations for mapping class groups
Kazuo Habiro, Anderson Vera
We first develop a general theory of Johnson filtrations and Johnson homomorphisms for a group acting on another group equipped with a filtration indexed by a "good" ordere…
The Kontsevich integral for bottom tangles in handlebodies
Kazuo Habiro, Gwenael Massuyeau
Using an extension of the Kontsevich integral to tangles in handlebodies similar to a construction given by Andersen, Mattes and Reshetikhin, we construct a functor $Z:\mathcal{B}\…
Unified quantum invariants for integral homology spheres associated with simple Lie algebras
Kazuo Habiro, Thang T. Q. Lê
For each finite dimensional, simple, complex Lie algebra and each root of unity (with some mild restriction on the order) one can define the Witten-Reshetikhin-Tu…
Kirby calculus for null-homologous framed links in 3-manifolds
Kazuo Habiro, Tamara Widmer
A theorem of Kirby gives a necessary and sufficient condition for two framed links in S^3 to yield orientation-preserving diffeomorphic results of surgery. Kirby's theorem is an im…
On Kirby calculus for null-homotopic framed links in 3-manifolds
Kazuo Habiro, Tamara Widmer
Kirby proved that two framed links in S^3 give orientation-preserving homeomorphic results of surgery if and only if these two links are related by a sequence of two kinds of moves…