Xu's non-vanishing conjecture for connected sums with a four-torus
Let XiX_iXi for i=1,2,3i=1,2,3i=1,2,3 be either a 4-torus T4T^4T4, or a closed oriented almost complex 4-manifold with … … and SWXi(ΓXi)≡1(mod2)SW_{X_i}(\Gamma_{X_i})\equiv 1\pmod 2SWXi(ΓXi)≡1(mod2), where ΓXi\Gamma_{X_i}ΓXi is a sp…