Existence of Lefschetz fibrations on Stein/Weinstein domains

Existence of Lefschetz fibrations on Stein/Weinstein domains

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John Pardon, Stanford University
Fine Hall 110

Please note special day, time and location.   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.