3 papers
math.AT2025
Geometric Constructions of Mod Cohomology Operations
Herng Yi Cheng
The Brown Representability Theorem implies that cohomology operations can be represented by continuous maps between Eilenberg-Maclane spaces. These Eilenberg-Maclane spaces have ex…
math.DG2025
Riemannian 3-spheres that are hard to sweep out by short curves
Omar Alshawa, Herng Yi Cheng
We construct a family of Riemannian 3-spheres that cannot be "swept out" by short closed curves. More precisely, for each we construct a Riemannian 3-sphere with diamet…
math.DG2024
Stable closed geodesics and stable figure-eights in convex hypersurfaces
Herng Yi Cheng
For each odd , we construct a closed convex hypersurface of that contains a non-degenerate closed geodesic with Morse index zero. A classical theorem o…