Torsion elements in the associated graded of the $Y$-filtration of the monoid of homology cylinders

Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki

Clasper surgery induces the $Y$-filtration $\{Y_n\mathcal{I}\mathcal{C}{\}}_n$ over the monoid of homology cylinders, which serves as a $3$-dimensional analogue of the lower central series of…