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arXiv · 1601.06136

Homology Smale-Barden manifolds with K-contact and Sasakian structures

Vicente Muñoz·Juan Angel Rojo·Aleksy Tralle
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Abstract

Koll\'ar has found subtle obstructions to the existence of Sasakian structures on 5-dimensional manifolds. In the present article we develop methods of using these obstructions to distinguish K-contact manifolds from Sasakian ones. In particular, we find the first example of a closed 5-manifold M with $H_1(M,Z)=0$ which is K-contact but which carries no semi-regular Sasakian structures.

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Vicente Muñoz, Juan Angel Rojo, Aleksy Tralle. 2016-01-22. Homology Smale-Barden manifolds with K-contact and Sasakian structures. https://arxiv.org/abs/1601.06136

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