2 papers
math.MG2026
Macroscopic Scalar Curvature in High Dimensions
Brendan Isley
We describe a version of positive macroscopic scalar curvature motivated by the work of Alpert, Balitskiy, and Guth, and prove that this condition on a manifold implies a bound on…
math.MG2026
Urysohn Width and Surgeries
Aleksandr Berdnikov, Brendan Isley
We analyze the behavior of Urysohn width of manifolds under a connected sum operation, specifically, bounding widths of summands in terms of widths of the sum and vice versa. Our m…