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arXiv · 0903.4462

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

Mikio Furuta·Yukio Kametani·Hirofumi Matsue·Norihiko Minami
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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.

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Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami. 2009-03-25. Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. https://doi.org/10.2140/gtm.2007.10.155

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