English

Contact structures on 5-manifolds

Symplectic Geometry 2013-02-05 v2 Geometric Topology

Abstract

Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5-manifold is homotopic to a contact structure.

Keywords

Cite

@article{arxiv.1210.5208,
  title  = {Contact structures on 5-manifolds},
  author = {John B. Etnyre},
  journal= {arXiv preprint arXiv:1210.5208},
  year   = {2013}
}

Comments

18 pages, 1 figure, fixed a potential gap in the proof of the main theorem and added details to clarify certain parts of the argument

R2 v1 2026-06-21T22:24:18.835Z