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math.DG2024
Width Stability of Rotationally Symmetric Metrics
Hunter Stufflebeam, Paul Sweeney
We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additi…
math.DG2024
A Smooth Intrinsic Flat Limit of with Negative Curvature
Jared Krandel, Paul Sweeney
In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian -manifolds, $n\ge…