Spectral monotonicity of the Hodge Laplacian
arXiv:2304.00901
Abstract
If K,G are finite abstract simplicial complexes and K is a subcomplex of G then the eigenvalues of the Hodge Laplacian of K are smaller or equal than the eigenvalues of the Hodge Laplacian of G, provided the eigenvalue lists are padded left.
arXiv comment6 pages, 2 figures