Homology Smale–Barden Manifolds with K-contact but not Sasakian Structures

DOI10.1093/imrn/rny205zbMath1461.57011arXiv1601.06136OpenAlexW2963118398WikidataQ129384616 ScholiaQ129384616MaRDI QIDQ5853684

Juan Rojo, Vicente Muñoz, Aleksy Tralle

Publication date: 11 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06136

zbMATH Keywords

\(K\)-contact manifoldsymplectic blow-upSeifert bundlescyclic orbifoldsGompf symplectic sumSasakian 5-manifolds

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (7)

Gompf connected sum for orbifolds and K-contact Smale-Barden manifolds ⋮ On the classification of Smale–Barden manifolds with Sasakian structures ⋮ Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds ⋮ Resolution of four-dimensional symplectic orbifolds ⋮ A K-contact simply connected 5-manifold with no semi-regular Sasakian structure ⋮ Symplectic resolution of orbifolds with homogeneous isotropy ⋮ Resolving symplectic orbifolds with applications to finite group actions

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