Jonathan Rosenberg

activity

20212025

most citedConjectures on Convergence and Scalar Curvature

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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

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…

math.DG2021★ 1 cited

Conjectures on Convergence and Scalar Curvature

Christina Sormani, Participants at the IAS Emerging Topics Workshop on Scalar Curvature, Convergence

Here we survey the compactness and geometric stability conjectures formulated by the participants at the 2018 IAS Emerging Topics Workshop on {\em Scalar Curvature and Convergence}…

math.DG2021★ 1 cited

Positive scalar curvature on $Pin^{\pm}$ - and $Spin^{c}$ -manifolds

Boris Botvinnik, Jonathan Rosenberg

It is well-known that spin structures and Dirac operators play a crucial role in the study of positive scalar curvature metrics (psc-metrics) on compact manifolds. Here we consider…

Classification of spinc manifolds with generalized positive scalar curvature

Generalized positive scalar curvature on spinc manifolds

Conjectures on Convergence and Scalar Curvature

Positive scalar curvature on Pin±- and Spinc-manifolds

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

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

Positive scalar curvature on $Pin^{\pm}$ - and $Spin^{c}$ -manifolds