Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Details Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

2009-03-25

arxiv.org/abs/0903.4462v1

Geom. Topol. Monogr. 10 (2007) 155-166

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 29 January 2007

Scientific paper

10.2140/gtm.2007.10.155

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.

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