Geometry & Topology, Vol. 7 (2003)
Paper no. 26, pages 889--932.
Seiberg-Witten-Floer stable homotopy type of three-manifolds with b_1=0
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
S^1-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
3--manifolds, Floer homology, Seiberg--Witten equations, Bauer--Furuta invariant, Conley index
AMS subject classification.
Submitted to GT on 2 May 2002.
Paper accepted 5 December 2003.
Paper published 10 December 2003.
Notes on file formats
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