On $7$-manifolds with $b_2=2$: diffeomorphism classification and nonconnected moduli spaces of positive Ricci curvature metrics

Fupeng Xu

We derive the $s$-invariants of certain simply connected $7$-manifolds whose second homology groups are isomorphic to ${\mathbb{Z}}^2$. We apply the $s$-invariants to give a partia…