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math.GR2017
Generalized Johnson homomorphisms for extended N-series
Kazuo Habiro, Gwenael Massuyeau
The Johnson filtration of the mapping class group of a compact, oriented surface is the descending series consisting of the kernels of the actions on the nilpotent quotients of the…
math.GT2017
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}\…