Inequivalent contact structures on Boothby-Wang 5-manifolds

Details Inequivalent contact structures on Boothby-Wang 5-manifolds Inequivalent contact structures on Boothby-Wang 5-manifolds

2010-01-12

arxiv.org/abs/1001.1953v1

Mathematics

Symplectic Geometry

25 pages

Scientific paper

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.

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