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math.GT2022★ 1 cited
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…
math.GT2022
Lagrangian traces for the Johnson filtration of the handlebody group
Quentin Faes
We define trace-like operators on a subspace of the space of derivations of the free Lie algebra generated by the first homology group of a surface . This definition depends…