Concordance of surfaces in 4‐manifolds and the Freedman–Quinn invariant

We prove a concordance version of the 4-dimensional light bulb theorem for π 1 -negligible compact orientable surfaces, where there is framed but not necessarily embedded dual sphere. That is, we show that if F 0 and are such surfaces in 4-manifold X homotopic exists an immersed 2-sphere G intersecting geometrically once, then concordant only their Freedman–Quinn invariant fq vanishes. The proof main result involves computing terms intersections universal covering space applying work Sunukjian simply-connected case. This paper relies extensively on colour figures. Some references to may be meaningful printed version, refer reader online which includes