Existence of Lefschetz fibrations on stein and weinstein domains

Emmanuel Giroux; John Pardon

doi:10.2140/gt.2017.21.963

Existence of Lefschetz fibrations on stein and weinstein domains

Emmanuel Giroux, John Pardon

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

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.

Original language	English (US)
Pages (from-to)	963-997
Number of pages	35
Journal	Geometry and Topology
Volume	21
Issue number	2
DOIs	https://doi.org/10.2140/gt.2017.21.963
State	Published - Mar 17 2017

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Lefschetz fibrations
Quantitative transversality
Stein domains
Stein manifolds
Weinstein domains
Weinstein manifolds

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10.2140/gt.2017.21.963

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title = "Existence of Lefschetz fibrations on stein and weinstein domains",

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{\textquoteright}s quantitative transversality techniques.",

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KW - Stein manifolds

KW - Weinstein domains

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Existence of Lefschetz fibrations on stein and weinstein domains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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