29 citations · 109 across the 27 of their papers we have counts for
36 papers
On the Sp-structure of the torsion of the Lie algebra of homology cylinders
Quentin Faes, Gwenael Massuyeau, Masatoshi Sato
Let be a compact oriented surface. We investigate the graded Lie algebra of homology cylinders over , as introduced by M. Goussarov and K. Habiro. To analyze its torsion, we…
On the degree-two part of the associated graded of the lower central series of the Torelli group
Quentin Faes, Gwenael Massuyeau, Masatoshi Sato
We consider the associated graded of the lower central series $\mathcal{I} = Γ_1 \mathcal{I} \supset Γ_2 \mathcal{I} \s…
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 the non-triviality of the torsion subgroup of the abelianized Johnson kernel
Quentin Faes, Gwenael Massuyeau
The Johnson kernel is the subgroup of the mapping class group of a closed oriented surface that is generated by Dehn twists along separating simple closed curves. The rational abel…
A splicing formula for the LMO invariant
Gwenael Massuyeau, Delphine Moussard
We prove a "splicing formula" for the LMO invariant, which is the universal finite-type invariant of rational homology -spheres. Specifically, if a rational homology -sphere…
Generalized Dehn twists in low-dimensional topology
Yusuke Kuno, Gwenael Massuyeau, Shunsuke Tsuji
The generalized Dehn twist along a closed curve in an oriented surface is an algebraic construction which involves intersections of loops in the surface. It is defined as an automo…