Constraints on families of smooth 4-manifolds from ${\mathrm{Pin}}^{-}(2)$-monopole

Hokuto Konno, Nobuhiro Nakamura

Using the Seiberg-Witten monopole equations, Baraglia recently proved that for most of simply-connected closed smooth $4$-manifolds $X$, the inclusions $\mathrm{Diff}(X) \hookright…