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
Recommended Citation
Baldridge, S. (2003). Seiberg-Witten invariants, orbifolds, and circle actions. Transactions of the American Mathematical Society, 355 (4), 1669-1697. https://doi.org/10.1090/S0002-9947-02-03205-1
