Suppose we take some $p \in S^3$ and consider a surgery on $S^1 \times S^3$ removing a tubular neighborhood of $S^1 \times p$ and gluing in a $D^2 \times S^2$. What manifold do we get? I've been trying to visualize this, not to much avail.
2026-03-25 06:05:26.1774418726
Effect of surgery on $S^1 \times S^3$
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