Minimizing Euler characteristics of symplectic four-manifolds
Geometric Topology
2007-05-23 v2 Symplectic Geometry
Abstract
We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almost complex closed four-manifolds with the same fundamental group. In fact, the difference between the two is arbitrarily large for certain groups.
Cite
@article{arxiv.math/0504578,
title = {Minimizing Euler characteristics of symplectic four-manifolds},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:math/0504578},
year = {2007}
}
Comments
cosmetic changes only; final version, to appear in Proc. Amer. Math. Soc