This is a sequel to our article  where a generalization of a non-vanishing theorem for stable cohomotopy Seiberg-Witten invariants is proved. The main purpose of the current article is to give various applications of the non-vanishing theorem to the differential geometry and topology of 4-manifolds, including existence of exotic smooth structures, smooth connected sum decompositions of 4-manifolds and computations of Perelman’s ?¯ invariant.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty