Lagrangian submanifolds and Lefschetz pencils
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Abstract
Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold.
Cite
@article{arxiv.math/0407126,
title = {Lagrangian submanifolds and Lefschetz pencils},
author = {Denis Auroux and Vicente Muñoz and Francisco Presas},
journal= {arXiv preprint arXiv:math/0407126},
year = {2007}
}
Comments
40 pages, 1 figure