Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Subcritical contact surgeries and the topology of symplectic fillings

Klaus Niederkrüger

created by giovanni on 16 Oct 2014

22 oct 2014 -- 11:00

Aula seminari, DM, Pisa

Abstract.

(joint work with P. Ghiggini and C. Wendl) By a result of Eliashberg, every symplectic filling of a three-dimensional contact connected sum is obtained by performing a boundary connected sum on another symplectic filling. I will explain a partial generalization of this result for subcritical contact surgeries in higher dimensions: given any 5-dimensional contact manifold that arises from another contact manifold by subcritical surgery, its belt sphere must be nullhomotopic in any symplectically aspherical filling.

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