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Overtwisted Disks and Exotic Symplectic Structures

2014/02/27 by Roger Casals, Casals, Roger
Computer Science · Mathematics · #53D05 #53D10 #57R17 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG #msc:53D05 #msc:53D10 #msc:57R17

paper · pdf · doi:10.48550/arxiv.1402.7099

7 pages

arxiv created 2014/02/27 · openalex publication_date 2014/02/27 · arxiv updated 2014/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The symplectization of an overtwisted contact structure in Euclidean 3--space is shown to be an exotic symplectic structure on Euclidean 4--space. The technique can be extended to produce exotic symplectic structures in higher dimensional Euclidean spaces using a GPS--structure and applies to symplectizations of appropriate open contact manifolds.

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