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

Vendredi 13 mars 2015 15:30-16:30 - Chris Wendl - University College London

Résumé : 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 in dimension five demonstrating that the corresponding theorem in higher dimensions is not true. 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.

Lieu : Nantes - Eole

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