Generalized positive scalar curvature on spin${}^c$ manifolds

Boris Botvinnik, Jonathan Rosenberg

Let $(M,L)$ be a (compact) non-spin spin${}^c$ manifold. Fix a Riemannian metric $g$ on $M$ and a connection $A$ on $L$, and let $D_L$ be the associated spin${}^c$ Dirac operator. Let…