Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants
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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
This is the version published by Geometry & Topology Monographs on 29 January 2007