Tight contact structures on connected sums need not be contact connected sums

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• Chris Wendl, UCL
• Wednesday 25 November 2015, 16:00-17:00
• MR13.

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In dimension three, convex surface theory implies that every tight contact structure on a connected sum M # N can be constructed as a connected sum of tight contact structures on M and N. I will explain some examples showing that this is not true in any dimension greater than three. The proof is based on a recent higher-dimensional version of a classic result of Eliashberg about the symplectic fillings of contact manifolds obtained by subcritical surgery. This is joint work with Paolo Ghiggini and Klaus Niederkrüger.

This talk is part of the Differential Geometry and Topology Seminar series.

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