Inequivalent contact structures on Boothby-Wang 5-manifolds - Mathematics > Symplectic GeometryReport as inadecuate




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Abstract: We consider contact structures on simply-connected 5-manifolds which arise ascircle bundles over simply-connected symplectic 4-manifolds and show thatinvariants from contact homology are related to the divisibility of thecanonical class of the symplectic structure. As an application we find newexamples of inequivalent contact structures in the same equivalence class ofalmost contact structures with non-zero first Chern class.



Author: M. J. D. Hamilton

Source: https://arxiv.org/







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