Seiberg – Witten – Floer stable homotopy type of three - manifolds with b 1 = 0
نویسنده
چکیده
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. AMS Classification numbers Primary: 57R58
منابع مشابه
Se p 20 03 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 transversal-ity problems in the standard approach. We also define a ...
متن کامل00 1 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. We also define a relative invariant of four-manifolds with boundary and use it to give new proofs to some results of Frøyshov from [Fr].
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