15 may 2015 -- 16:20
Sala Conferenze, Collegio Puteano, Pisa
Abstract.
(Joint work with M. Fernández and V. Muñoz).
The goal of this talk is to give an overview of the existing examples of manifolds which are symplectic and complex but carry no Kähler metric. I will also construct an example of a simply connected manifold which admits both symplectic and complex structures, but no Kähler structure. Such a manifold has dimension 6, the lowest in which such a phenomenon can occurr.
References
{BFM} G. Bazzoni, M. Fernández and V. Muñoz, A 6-dimensional simply connected complex and symplectic manifold with no Kähler metric, http://arxiv.org/abs/1410.6045, preprint.