Contact structures on M × S²

2013/05/14 by Jonathan Bowden, Bowden, Jonathan, Diarmuid Crowley +3 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1305.3121

Abstract

We show that if a manifold M admits a contact structure, then so does M× S². Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M× T².

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