Contact structures on 5-manifolds

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.

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

References in corpus (3)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• On generalizing Lutz twists
• Almost contact 5-folds are contact

Cited by in corpus (9)

• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Convex hypersurface theory in contact topology
• Almost contact 5-folds are contact
• The topology of Stein fillable manifolds in high dimensions II
• Chern-Weil theory and the group of strict contactomorphisms
• Constructions of contact forms on products and piecewise fibered manifolds
• Steady Euler flows and Beltrami fields in high dimensions
• Existence and classification of overtwisted contact structures in all dimensions
• Contact structures on M \times S^2