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

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.

72 pages

References in corpus (2)

• Gluing formula for the stable cohomotopy version of Seiberg-Witten invariants along 3-manifolds with $b_1>0$
• The equivalence of two Seiberg-Witten Floer homologies

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