English

Lefschetz type pencils on contact manifolds

Symplectic Geometry 2007-05-23 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0007034,
  title  = {Lefschetz type pencils on contact manifolds},
  author = {Francisco Presas},
  journal= {arXiv preprint arXiv:math/0007034},
  year   = {2007}
}

Comments

26 pages, 1 figure

R2 v1 2026-07-22T16:33:38.900Z