Title

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

Document Type

Article

Publication Date

1-1-2001

Abstract

The main results of this paper describes a formula for the Seiberg-Witten invariant of a 4-manifold which admits a nontrivial free circle action. We use this theorem to produce a nonsymplectic 4-manifold with a free circle action whose orbit space fibers over circle. We also describe a nontrivial 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. © World Scientific Publishing Company.

Publication Source (Journal or Book title)

Communications in Contemporary Mathematics

First Page

341

Last Page

353

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