Einstein Metrics, Four-Manifolds, and Differential Topology
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
This article presents a new and more elementary proof of the main Seiberg-Witten-based obstruction to the existence of Einstein metrics on smooth compact 4-manifolds. It also introduces a new smooth manifold invariant which conveniently encapsulates those aspects of Seiberg-Witten theory most relevant to the study of Riemannian variational problems on 4-manifolds.
Keywords
Cite
@article{arxiv.math/0404359,
title = {Einstein Metrics, Four-Manifolds, and Differential Topology},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:math/0404359},
year = {2007}
}
Comments
21 pages, LaTeX2e