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2017 Existence of Lefschetz fibrations on Stein and Weinstein domains
Emmanuel Giroux, John Pardon
Geom. Topol. 21(2): 963-997 (2017). DOI: 10.2140/gt.2017.21.963

Abstract

We show that every Stein or Weinstein domain may be presented (up to deformation) as a Lefschetz fibration over the disk. The proof is an application of Donaldson’s quantitative transversality techniques.

Citation

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Emmanuel Giroux. John Pardon. "Existence of Lefschetz fibrations on Stein and Weinstein domains." Geom. Topol. 21 (2) 963 - 997, 2017. https://doi.org/10.2140/gt.2017.21.963

Information

Received: 27 July 2015; Revised: 7 April 2016; Accepted: 20 May 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1372.32035
MathSciNet: MR3626595
Digital Object Identifier: 10.2140/gt.2017.21.963

Subjects:
Primary: 32Q28
Secondary: 32E10 , 53D05 , 53D35

Keywords: Lefschetz fibrations , quantitative transversality , Stein domains , Stein manifolds , Weinstein domains , Weinstein manifolds

Rights: Copyright © 2017 Mathematical Sciences Publishers

Vol.21 • No. 2 • 2017
MSP
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