Seiberg-Witten invariants, orbifolds, and circle actions

  title={Seiberg-Witten invariants, orbifolds, and circle actions},
  author={S. Baldridge},
  journal={Transactions of the American Mathematical Society},
  • S. Baldridge
  • Published 2001
  • Mathematics
  • Transactions of the American Mathematical Society
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 Y 3 × S 1 = SW Y 3. An infinite… Expand
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