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math.SG2000
Submanifolds of symplectic manifolds with contact border
Francisco Presas
We construct symplectic submanifolds of symplectic manifolds with contact border. The boundary of such submanifolds is shown to be a contact submanifold of the contact border. We a…
math.SG2000
Lefschetz type pencils on contact manifolds
Francisco Presas
We define the concept of Lefschetz contact pencil and we show the existence of such structures on any contact manifold. The main idea of the proof is a generalization of the Donald…
math.DG2000
Almost holomorphic embeddings in Grassmannians with applications to singular simplectic submanifolds
Vicente Muñoz, Fran Presas, Ignacio Sols
We use Donaldson's approximately holomorphic techniques to build embeddings of a closed symplectic manifold with symplectic form of integer class in the grassmannians Gr(r,N). We a…