Homotopy classification of $4$-manifolds with $3$-manifold fundamental group

Jonathan Hillman, Daniel Kasprowski, Mark Powell +1

We give a criterion on a group $\ddot{I}€$ and a homomorphism $w:\ddot{I}€\to C_2$ under which closed $4$-manifolds with fundamental group $\ddot{I}€$ and orientation character $w$ are classifie…