Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds

Hông Vân Lê

Let $M^n\subset {\mathbb{R}}^d$ be a closed, connected, orientable $C^4$-smooth Riemannian submanifold of dimension $n\ge 3$. We construct, for each degree $0\le k\le n$, a family of de…