B. Botvinnik

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20242026

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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.DG2025

On the topology of the moduli space of positive scalar curvature concordances

Boris Botvinnik, David J. Wraith

Let $M$ be a manifold which admits a metric with positive scalar curvature (or a positive intermediate curvature in a suitable sense). We study the moduli space ${\mathscr{M}}^{\ma…

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

On the topology of the moduli space of positive scalar curvature concordances

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