Spectral monotonicity of the Hodge Laplacian
Combinatorics
2023-04-04 v1 Discrete Mathematics
Spectral Theory
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.
Cite
@article{arxiv.2304.00901,
title = {Spectral monotonicity of the Hodge Laplacian},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2304.00901},
year = {2023}
}
Comments
6 pages, 2 figures