Classification of spin${}^c$ manifolds with generalized positive scalar curvature

Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg

Suppose $M$ is a closed $n$-dimensional spin${}^c$ manifold with spin${}^c$ structure $\sigma$ and associated spin${}^c$ line bundle $L$. If one fixes a Riemannian metric $g$ on $M$ and a con…