Showing 2026 · math.DGShow all
2 papers · 2 filters
math.DG2026
Stable systolic inequalities via mod n covering
Aditya Kumar
We introduce a mod covering based approach to stable systolic inequalities. The idea is to prescribe a cohomology class mod which forces the desired cup product or index to…
math.DG2026
Urysohn width and macroscopic scalar curvature
Aditya Kumar, Balarka Sen
We show that the macroscopic version of Gromov's Urysohn width conjecture for scalar curvature is false in dimensions four and above. This is based on (1) a novel estimate on the c…