3 problems

Let $\mathcal H_{g,1}$ and $\overline{\mathcal H}_{g,1}$ be the homology-cobordism groups in the source, let $\sigma$ be the homomorphism to the inverse limit of automorphism group…

Let $K\subseteq Y$ be a link in a homology sphere. A homology cobordism $W$ from $Y$ to $S^3$ is a cobordism inducing homology isomorphisms from its boundary components. Two links…

Kim–Livingston conjecture. This homomorphism is an isomorphism.