Jonathan Rosenberg

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math.DG2025

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 $I ¨ $ and associated spin $^{c}$ line bundle $L$ . If one fixes a Riemannian metric $g$ on $M$ and a co…

math.DG2024

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…

Classification of spinc manifolds with generalized positive scalar curvature

Generalized positive scalar curvature on spinc manifolds

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

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