Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants
arXiv:0903.4462 · doi:10.2140/gtm.2007.10.155
Abstract
We show the "non-existence" results are essential for all the previous known applications of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. As an example, we present a unified proof of the adjunction inequalities. We also show that the nilpotency phenomenon explains why the Bauer-Furuta stable homotopy Seiberg-Witten invariants are not enough to prove 11/8-conjecture.
This is the version published by Geometry & Topology Monographs on 29 January 2007