Spectral monotonicity of the Hodge Laplacian

04/03/2023

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by   Oliver Knill, et al.

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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.