3 papers
math.DG2024
Torsion Obstructions to Positive Scalar Curvature
Misha Gromov, Bernhard Hanke
We study obstructions to the existence of Riemannian metrics of positive scalar curvature on closed smooth manifolds arising from torsion classes in the integral homology of their…
math.DS2024
Dynamical Morse entropy
Mélanie Bertelson, Misha Gromov
We consider actions of a tileable amenable group on a topological space . For a continuous function on , we define the entropy of the number of homologically detectable…
math.DG2024
Product Inequalities for -Stabilized Scalar Curvature
Misha Gromov
We study metric invariants of Riemannian manifolds defined via the -stabilized scalar curvatures of manifolds mapped to and prove in some cases addit…