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Apr 20, 2019 at 13:36 comment added Danny Ruberman Not necessarily; it depends on the knot along which you do that surgery. I actually think these questions are better suited to Mathstackexchange than to this forum.
Apr 20, 2019 at 10:03 comment added M. Alessandro Ferrari Thanks for the reference. To clarify the notion, let me ask you one more question. If we replace $S^2 \times S^1$ by $S^3$ and perform $−1$-surgery on $S^3$ (following your description), may we obtain a manifold bounding rational homology ball?
Apr 19, 2019 at 11:56 vote accept M. Alessandro Ferrari
Apr 19, 2019 at 11:42 history answered Danny Ruberman CC BY-SA 4.0