Periodic Floer pro-spectra from the Seiberg-Witten equations

Details Periodic Floer pro-spectra from the Seiberg-Witten equations Periodic Floer pro-spectra from the Seiberg-Witten equations

2002-03-23

arxiv.org/abs/math/0203243v2

Mathematics

Geometric Topology

19 pages; partially rewritten: the discussion is limited to the case b_1=1, and includes a section on the four versions of Flo

Scientific paper

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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