Existence of Lefschetz fibrations on Stein and Weinstein domains
Symplectic Geometry
2017-03-29 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.1411.6176,
title = {Existence of Lefschetz fibrations on Stein and Weinstein domains},
author = {Emmanuel Giroux and John Pardon},
journal= {arXiv preprint arXiv:1411.6176},
year = {2017}
}
Comments
28 pages. Final version to appear in Gometry and Topology