Lefschetz type pencils on contact manifolds

Mathematics – Symplectic Geometry

Scientific paper

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26 pages, 1 figure

Scientific paper

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 Donaldson arguments used in the symplectic case. We will
analyze some of the applications of such existence theorem for the topology of
approximately holomorphic contact submanifolds.

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