152 citations · 453 across the 37 of their papers we have counts for
37 papers
Derived categories of curves of genus one and torsors over abelian varieties
Niranjan Ramachandran, Jonathan Rosenberg
Suppose is a smooth projective curve of genus 1 over a perfect field , and is its Jacobian. In the case that has no -rational points, so that and are not…
Positive scalar curvature on manifolds with boundary and their doubles
Jonathan Rosenberg, Shmuel Weinberger
This paper is about positive scalar curvature on a compact manifold with non-empty boundary . In some cases, we completely answer the question of when has a pos…
Relating Diffraction and Spectral Data of Aperiodic Tilings: Towards a Bloch theorem
Eric Akkermans, Yaroslav Don, Jonathan Rosenberg +1
The purpose of this paper is to show the relationship in all dimensions between the structural (diffraction pattern) aspect of tilings (described by Čech cohomology of the tiling s…
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…
Positive scalar curvature on simply connected spin pseudomanifolds
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
Let be an -dimensional Thom-Mather stratified space of depth . We denote by the singular locus and by the associated link. In this paper we study the problem o…
The Riemann-Roch Theorem on higher dimensional complex noncommutative tori
Varghese Mathai, Jonathan Rosenberg
We prove analogues of the Riemann-Roch Theorem and the Hodge Theorem for noncommutative tori (of any dimension) equipped with complex structures, and discuss implications for the q…