2010/01/31 by M. J. D. Hamilton, Mark J. D. Hamilton
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #math.SG #msc:53D05 #msc:53D10 #msc:53D35
paper · pdf · doi:10.1007/s00209-012-1093-x
published as Math. Zeitschrift 274, no. 3, (2013) 719-743 · 27 pages; to appear in Math. Zeitschrift
openalex publication_date 2012/11/07 · arxiv created 2012/11/13 · arxiv updated 2013/07/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.