Inequivalent contact structures on Boothby-Wang 5-manifolds

Abstract

We consider contact structures on simply-connected 5-manifolds which arise as circle bundles over simply-connected symplectic 4-manifolds and show that invariants from contact homology are related to the divisibility of the canonical class of the symplectic structure. As an application we find new examples of inequivalent contact structures in the same equivalence class of almost contact structures with non-zero first Chern class.

27 pages; to appear in Math. Zeitschrift

References in corpus (2)

• Minimality and irreducibility of symplectic four-manifolds
• On the geography of symplectic 4-manifolds with divisible canonical class

Cited by in corpus (7)

• Contact homology of good toric contact manifolds
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Rigid Supersymmetry on 5-dimensional Riemannian Manifolds and Contact Geometry
• A Boothby-Wang theorem for Besse contact manifolds
• Note on a Cohomological Theory of Contact-Instanton and Invariants of Contact Structures
• Sasaki structures distinguished by their basic Hodge numbers
• Sasaki versus Kähler groups