In this paper, we study Manolescu’s construction of the relative Bauer–Furuta invariants arising from the Seiberg–Witten equations on –manifolds with boundary. The main goal of this paper 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 –manifolds.
"A new gauge slice for the relative Bauer–Furuta invariants." Geom. Topol. 19 (3) 1631 - 1655, 2015. https://doi.org/10.2140/gt.2015.19.1631