Seiberg-Witten invariants of 4-manifolds with free circle actions
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
The main results of this paper describes a formula for the Seiberg-Witten invariant of a 4-manifold which admits a nontrivial free S^1-action. We use this theorem to produce a nonsymplectic 4-manifold with a free circle action whose orbit space fibers over S^1. We also describe a 3-manifold which is not the orbit space of any symplectic 4-manifold with a free circle action. A corollary of the main theorem is a formula for the 3-dimensional Seiberg-Witten invariants of the total space of a circle bundle over a surface.
Keywords
Cite
@article{arxiv.math/9911051,
title = {Seiberg-Witten invariants of 4-manifolds with free circle actions},
author = {Scott Baldridge},
journal= {arXiv preprint arXiv:math/9911051},
year = {2007}
}
Comments
LaTex, 13 pages, 2 figures