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

Autor: Furuta, Mikio, Kametani, Yukio, Matsue, Hirofumi, Minami, Norihiko
Rok vydání: 2009
Předmět:
Zdroj: Geom. Topol. Monogr. 10 (2007) 155-166
Druh dokumentu: Working Paper
DOI: 10.2140/gtm.2007.10.155
Popis: 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.
Comment: This is the version published by Geometry & Topology Monographs on 29 January 2007
Databáze: arXiv