A Convex decomposition theorem for four-manifolds
几何拓扑
2007-05-23 v1 辛几何
摘要
We show that every smooth closed oriented four-manifold admits a decomposition into two co- dimension zero submanifolds with common boundary. Each of these submanifolds carries a structure of a symplectic manifold with pseudo-convex boundary. This imply, in particular, that every smooth closed simply-connected four-manifold is a Stein domain in the the complement of a certain contractible 2-complex.
引用
@article{arxiv.math/0010166,
title = {A Convex decomposition theorem for four-manifolds},
author = {Selman Akbulut and Rostislav Matveyev},
journal= {arXiv preprint arXiv:math/0010166},
year = {2007}
}
备注
LaTeX2e, 9 pages, 5 figures