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Existence of Lefschetz fibrations on Stein/Weinstein domains

Presented by: 
John Pardon Princeton University
Date: 
Thursday 17th August 2017 - 17:00 to 18:00
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons