Codimension 2 drawstrings with scalar curvature lower bounds
arXiv:2501.09149
Abstract
We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of scalar curvature rigidity phenomena, such as Llarull's Theorem and the Positive Mass Theorem.
52 pages, 2 figures. Comments welcome!