4 problems

Let $H$ be the first homology group used to define the tree and homology-cylinder filtrations, and let $\mathcal G_k^Y(\mathcal H_g)$ and $\mathcal G_k^w(\mathcal H_g)$ denote thei…

For every $k\geq 1$, consider the homomorphism … from the exact sequence associated with the $A_n$-filtration of homology cylinders, where ${\sf K}^{\sf Y}_{4k-3}$ is the kernel ap…

Stable lower central series conjecture. The lower central series of the Torelli group stably coincides with the restriction of the $Y$-filtration:

Stable equality conjecture. For any $g\geq 0$ and all $j\geq 1$,