Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem

Abstract

We use the construction of unfolded Seiberg-Witten Floer spectra of general 3-manifolds defined in our previous paper to extend the notion of relative Bauer-Furuta invariants to general 4-manifolds with boundary. One of the main purposes of this paper is to give a detailed proof of the gluing theorem for the relative invariants.

83 pages. Typos fixed. Small changes

References in corpus (1)

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

Cited by in corpus (4)

• Geometrically simply connected 4-manifolds and stable cohomotopy Seiberg-Witten invariants
• Involutions, knots, and Floer K-theory
• Seiberg-Witten Floer homotopy contact invariant
• Positive scalar curvature and homology cobordism invariants