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Lefschetz type pencils on contact manifolds

Francisco Presas
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Abstract

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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Francisco Presas. 2000-07-06. Lefschetz type pencils on contact manifolds. https://arxiv.org/abs/math/0007034

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