Existence of Lefschetz fibrations on Stein/Weinstein domains

Duration: 1 hour 1 min
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Description: Pardon, J
Thursday 17th August 2017 - 17:00 to 18:00
 
Created: 2017-08-18 09:05
Collection: Symplectic geometry - celebrating the work of Simon Donaldson
Publisher: Isaac Newton Institute
Copyright: Pardon, J
Language: eng (English)
 
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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