Seiberg-Witten invariants of 4-manifolds with free circle actions

Details Seiberg-Witten invariants of 4-manifolds with free circle actions Seiberg-Witten invariants of 4-manifolds with free circle actions

1999-11-09

arxiv.org/abs/math/9911051v1

Mathematics

Geometric Topology

LaTex, 13 pages, 2 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Seiberg-Witten invariants of 4-manifolds with free circle actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Seiberg-Witten invariants of 4-manifolds with free circle actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Seiberg-Witten invariants of 4-manifolds with free circle actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-277010