Existence of Lefschetz fibrations on Stein/Weinstein domains

Princeton/IAS Symplectic Geometry Seminar
Topic:Existence of Lefschetz fibrations on Stein/Weinstein domains
Speaker:John Pardon
Affiliation:Stanford University
Date:Thursday, February 19
Time/Room:2:30pm - 3:30pm/Fine 110, Princeton University

I will describe joint work with E. Giroux in which we show that every Weinstein domain admits a Lefschetz fibration over the disk (that is, a singular fibration with Weinstein fibers and Morse singularities). We also prove an analogous result for Stein domains in the complex analytic setting. The main tool used to prove these results is Donaldson's quantitative transversality.