Existence of Lefschetz fibrations on stein and weinstein domains

Emmanuel Giroux, John Pardon

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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 languageEnglish (US)
Pages (from-to)963-997
Number of pages35
JournalGeometry and Topology
Issue number2
StatePublished - Mar 17 2017

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


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


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