2 papers
math.GT2025
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} = Î_1 \mathcal{I} \supset Î_2 \mathcal{I…
math.GT2025
Torsion elements in the associated graded of the -filtration of the monoid of homology cylinders
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
Clasper surgery induces the -filtration over the monoid of homology cylinders, which serves as a -dimensional analogue of the lower central series of…