199 citations · 527 across the 27 of their papers we have counts for
33 papers
Quasi-cellular categories and the structure of the Brauer category
Kazuo Habiro, Mai Katada
We introduce the notion of a quasi-cellular category, which is a variant of cellular algebras and cellular categories. Many diagram categories, such as the Brauer category and the…
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…
On Borel's stable range of the twisted cohomology of
Kazuo Habiro, Mai Katada
Borel's stability and vanishing theorem gives the stable cohomology of with coefficients in algebraic -representations. We co…
On the stable cohomology of the IA-automorphism groups of free groups
Kazuo Habiro, Mai Katada
Borel's stability and vanishing theorem gives the stable cohomology of with coefficients in algebraic -representations. By co…
Ribbon Yetter--Drinfeld modules and tangle invariants
Kazuo Habiro, Yuka Kotorii
We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessa…
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…