Geodesic
Seiberg–Witten–Floer stable homotopy type of three-manifolds with b1 = 0
Manolescu, Ciprian1
1 Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138, USA
Geometry & topology, Tome 7 (2003) no. 2, pp. 889-932.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Using Furuta’s idea of finite dimensional approximation in Seiberg–Witten theory, we refine Seiberg–Witten Floer homology to obtain an invariant of homology 3–spheres which lives in the S1–equivariant graded suspension category. In particular, this gives a construction of Seiberg–Witten Floer homology that avoids the delicate transversality problems in the standard approach. We also define a relative invariant of four-manifolds with boundary which generalizes the Bauer–Furuta stable homotopy invariant of closed four-manifolds.

DOI : 10.2140/gt.2003.7.889
Keywords: 3–manifolds, Floer homology, Seiberg–Witten equations, Bauer–Furuta invariant, Conley index

Manolescu, Ciprian 1

1 Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138, USA 
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Manolescu, Ciprian. Seiberg–Witten–Floer stable homotopy type of three-manifolds with b1 = 0. Geometry & topology, Tome 7 (2003) no. 2, pp. 889-932. doi : 10.2140/gt.2003.7.889. http://geodesic.mathdoc.fr/articles/10.2140/gt.2003.7.889/

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