56 citations · 146 across the 34 of their papers we have counts for
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Classification of spin manifolds with generalized positive scalar curvature
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
Suppose is a closed -dimensional spin manifold with spin structure and associated spin line bundle . If one fixes a Riemannian metric on and a con…
On the topology of the moduli space of positive scalar curvature concordances
Boris Botvinnik, David J. Wraith
Let 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…
Generalized positive scalar curvature on spin manifolds
Boris Botvinnik, Jonathan Rosenberg
Let be a (compact) non-spin spin manifold. Fix a Riemannian metric on and a connection on , and let be the associated spin Dirac operator. Let…
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}…
Positive scalar curvature on - and -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…
Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
In this paper we continue the study of positive scalar curvature (psc) metrics on a depth-1 Thom-Mather stratified space with singular stratum (a closed manifold of posi…