A new gauge slice for the relative Bauer-Furuta invariants

Abstract

In this paper, we study Manolescu's construction of the relative Bauer-Furuta invariants arising from the Seiberg-Witten equations on 4-manifolds with boundary. The main goal is to introduce a new gauge fixing condition in order to apply the finite dimensional approximation technique. We also hope to provide a framework to extend Manolescu's construction to general 4-manifolds.

18 pages. Minor revision according to referee's suggestion

References in corpus (1)

• Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds

Cited by in corpus (7)

• Equivariant Seiberg-Witten-Floer cohomology
• Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem
• Gluing formula for the stable cohomotopy version of Seiberg-Witten invariants along 3-manifolds with $b_1>0$
• Involutions, knots, and Floer K-theory
• Seiberg-Witten Floer spectra for $b_1>0$
• Seiberg-Witten Floer homotopy contact invariant
• Positive scalar curvature and homology cobordism invariants