Correction to “Open books and configurations of symplectic surfaces”

Abstract

We correct the main theorem in ‘Open books and configurations of symplectic surfaces’ [Alg. Geom. Top. 3 (2003) 569–586] and its proof. As originally stated, the theorem gave conditions on a configuration of symplectic surfaces in a symplectic 4–manifold under which we could construct a model neighborhood with concave boundary and describe explicitly the open book supporting the contact structure on the boundary. The statement should have included constraints on the areas of the surfaces.