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Chris Wendl

Stein fillings and exotic contact structures on connected sums
星期五, 10 三月, 2017 - 10:30
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 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.
 

 

Thème de recherche : 
Topologie
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