Title

Seiberg-Witten invariants, orbifolds, and circle actions

Document Type

Article

Publication Date

4-1-2003

Abstract

The main result of this paper is a formula for calculating the Seiberg-Witten invariants of 4-manifolds with fixed-point-free circle actions. This is done by showing under suitable conditions the existence of a diffeomorphism between the moduli space of the 4-manifold and the moduli space of the quotient 3-orbifold. Two corollaries include the fact that b >1 4-manifolds with fixed-point-free circle actions are simple type and a new proof of the equality SW = SW . An infinite number of 4-manifolds with 6 = 1 whose Seiberg-Witten invariants are still diffeomorphism invariants is constructed and studied. + Y3×S1 Y3 +

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

1669

Last Page

1697

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