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

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Cited by in corpus (6)

• Khovanov spectra for tangles
• Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem
• A knot Floer stable homotopy type
• Seiberg-Witten Floer homotopy contact invariant
• Positive scalar curvature and homology cobordism invariants
• Twisted Spectra Revisited