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…
cs.GR2018
Solid Geometry Processing on Deconstructed Domains
Silvia Sellán, Herng Yi Cheng, Yuming Ma +2
Many tasks in geometry processing are modeled as variational problems solved numerically using the finite element method. For solid shapes, this requires a volumetric discretizatio…