Classification of boundary Lefschetz fibrations over the disc

Stefan Behrens, Gil R. Cavalcanti, Ralph L. Klaasse

We show that a four-manifold admits a boundary Lefschetz fibration over the disc if and only if it is diffeomorphic to $S^1\times S^3\#n\overline{\mathbb{C}{P}^2}$, $\# m\mathbb{…