#### Volume 22, issue 4 (2018)

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Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance

### Tirasan Khandhawit, Jianfeng Lin and Hirofumi Sasahira

Geometry & Topology 22 (2018) 2027–2114
##### Abstract

Let $Y$ be a closed and oriented $3$–manifold. We define different versions of unfolded Seiberg–Witten Floer spectra for $Y$. These invariants generalize Manolescu’s Seiberg–Witten Floer spectrum for rational homology $3$–spheres. We also compute some examples when $Y$ is a Seifert space.

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##### Keywords
3-manifolds, Floer homotopy, Seiberg–Witten theory, Conley index
Primary: 57R57
Secondary: 57R58