Examples of non-simply connected compact contact manifolds M such that M × S¹ cannot admit a symplectic structure

2013/12/16 by Sergii Kutsak, Kutsak, Sergii
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.1312.4567

11 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1212.0833

openalex publication_date 2013/12/16 · arxiv created 2014/10/04 · arxiv updated 2014/10/07 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In this paper we construct non-simply connected contact manifolds M of dimension ≥5 such that M× S¹ does not admit a symplectic structure.

Citations

• Invariant contact structures on 7-dimensional nilmanifolds

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