English

Symplectic structures from Lefschetz pencils in high dimensions

Symplectic Geometry 2007-05-23 v1

Abstract

A symplectic structure is canonically constructed on any manifold endowed with a topological linear k-system whose fibers carry suitable symplectic data. As a consequence, the classification theory for Lefschetz pencils in the context of symplectic topology is analogous to the corresponding theory arising in differential topology.

Keywords

Cite

@article{arxiv.math/0409370,
  title  = {Symplectic structures from Lefschetz pencils in high dimensions},
  author = {Robert E Gompf},
  journal= {arXiv preprint arXiv:math/0409370},
  year   = {2007}
}

Comments

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper11.abs.html