Minimality and irreducibility of symplectic four-manifolds
Symplectic Geometry
2007-05-23 v2 Algebraic Geometry
Geometric Topology
Abstract
We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of K\"ahler surfaces. This leads to a new proof of the deformation-invariance of holomorphic minimality for complex surfaces with even first Betti number which are not Hirzebruch surfaces.
Cite
@article{arxiv.math/0509204,
title = {Minimality and irreducibility of symplectic four-manifolds},
author = {M. J. D. Hamilton and D. Kotschick},
journal= {arXiv preprint arXiv:math/0509204},
year = {2007}
}
Comments
final version; cosmetic changes only; to appear in International Mathematics Research Notices