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arxiv: math/0203243 · v3 · pith:GBHTQTRMnew · submitted 2002-03-23 · 🧮 math.GT · math.DG

Periodic Floer pro-spectra from the Seiberg-Witten equations

Peter B. Kronheimer , Ciprian Manolescu This is my paper
classification 🧮 math.GT math.DG
keywords seiberg-witteninvariantsconstructequationsfloerperiodicpro-spectraapplied
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Given a three-manifold with b_1=1 and a nontorsion spin^c structure, we use finite dimensional approximation to construct from the Seiberg-Witten equations two invariants in the form of a periodic pro-spectra. Various functors applied to these invariants give different flavors of Seiberg-Witten Floer homology. We also construct stable homotopy versions of the relative Seiberg-Witten invariants for certain four-manifolds with boundary.

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