Khandhawit T.Lin J.Sasahira H.Mahidol University2023-07-232023-07-232023-06-01Journal of Differential Geometry Vol.124 No.2 (2023) , 231-3160022040Xhttps://repository.li.mahidol.ac.th/handle/20.500.14594/88042We 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.MathematicsArticleSCOPUS10.4310/jdg/16869316022-s2.0-851647252021945743X