Periodic Floer pro-spectra from the Seiberg-Witten equations
Geometric Topology
2014-02-04 v3 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0203243,
title = {Periodic Floer pro-spectra from the Seiberg-Witten equations},
author = {Peter B. Kronheimer and Ciprian Manolescu},
journal= {arXiv preprint arXiv:math/0203243},
year = {2014}
}
Comments
19 pages; used double Coulomb condition in Section 6, updated references