Kahler decomposition of 4-manifolds
Geometric Topology
2009-04-22 v3 Symplectic Geometry
Abstract
In this article we show that every closed oriented smooth 4-manifold can be decomposed into two codimension zero submanifolds (one with reversed orientation) so that both pieces are exact Kahler manifolds with strictly pseudoconvex boundaries and that induced contact structures on the common boundary are isotopic. Meanwhile, matching pairs of Lefschetz fibrations with bounded fibers are offered as the geometric counterpart of these structures. We also provide a simple topological proof of the existence of folded symplectic forms on 4-manifolds.
Keywords
Cite
@article{arxiv.math/0601396,
title = {Kahler decomposition of 4-manifolds},
author = {R Inanc Baykur},
journal= {arXiv preprint arXiv:math/0601396},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 11 September 2006