2 problems

Let $(L_+,L_-,L_0)$ be an oriented skein triple, and let $\mathbf{p}$ be a set of basepoints away from the resolutions. Denote by $\widetilde{\operatorname{HMR}}_*(L,\mathbf{p})$ t…

Let $Y$ be a closed three-manifold, let $K\subset Y$ be a knot, and let $Y_n(K)$ denote the result of $n$-surgery on $K$. Let $W_n^\prime(K)$ be the cobordism defined above, and le…