Trisections and link surgeries

We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby \cite{G-K3}. These lie Heegaard surfaces in $\#^j S^1 \times S^2$ have surgeries yielding $\#^k S^2$. describe families such surgeries. One can ask whether all with these families; answer is almost certainly no. nevertheless give a small piece evidence favor positive answer.