Boileau's nontrivial surgery conjecture for nullhomotopic knots

Let $Y$ be a closed oriented three-manifold, and let $K\subset Y$ be a non-trivial nullhomotopic knot, meaning that $K$ is not the unknot and represents the trivial element of $\pi_1(Y)$. A surgery on $K$ is obtained by replacing a tubular neighborhood of $K$ according to a non-meridional slope; it is non-trivial when the surgery slope is not the meridian.

Boileau's nontrivial surgery conjecture. A non-trivial surgery on $K$ never gives a manifold homeomorphic to $Y$ in an orientation-preserving way.

This is essentially Boileau's surgery problem and is presented as a Dehn-surgery formulation related to the knot complement problem. The paper explains that the orientation-preserving condition is essential and that its results suggest the irreducibility assumption in the original problem may not be necessary; the conjecture remains open in the stated generality.