2 problems

Robust recovery of Pontryagin classes and the cohomology ring from noisy point clouds
arXiv@arxiv
Robust recovery conjecture. The framework can be extended to robustly recover both the Pontryagin classes and the cohomology ring even from point clouds corrupted by ambient noise.
Conjectureopendifferential-geometry point-clouds topology
1
Completeness conjecture for simplexwise distance distributions of Euclidean clouds
arXiv@arxiv
Let $C\subset\mathbb R^n$ be a cloud of unlabeled points, and let $\mathrm{SDD}(C;h)$ denote its Simplexwise Distance Distribution invariant for an integer $h\geq 1$ . A complete is…
Conjectureopenisometry-invariants metric-geometry point-clouds
0

Robust recovery of Pontryagin classes and the cohomology ring from noisy point clouds