Heegaard structure respects complicated JSJ decompositions

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Let $M$ be a 3-manifold with torus boundary components $T_1$ and $T_2$. Let $\varphi :T_1\to T_2$ be a homeomorphism, $M_{\varphi }$ the manifold obtained from $M$ by gluing $T_1$ to $T_2$…