Journal of Symplectic Geometry

Volume 11 (2013)

Number 3

Convex plumbings and Lefschetz fibrations

Pages: 363 – 375



David Gay (Department of Mathematics, University of Virginia, Charlottesville, Va., U.S.A.)

Thomas E. Mark (Department of Mathematics, University of Georgia, Athens, Ga, U.S.A.)


We show that under appropriate hypotheses, a plumbing of symplectic surfaces in a symplectic 4-manifold admits strongly convex neighborhoods. Moreover the neighborhoods are Lefschetz fibered with an easily described open book on the boundary supporting the induced contact structure. We point out some applications to cut-and-paste constructions of symplectic 4-manifolds.

Published 22 August 2013