The largest eigenvalue of the combinatorial Hodge Laplacian does not grow with dimension: the paper proves this monotonicity for all finite simplicial complexes and derives new cohomology vanishing criteria.
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Eigenvalue growth of the discrete Hodge Laplacian across dimensions
The largest eigenvalue of the combinatorial Hodge Laplacian does not grow with dimension: the paper proves this monotonicity for all finite simplicial complexes and derives new cohomology vanishing criteria.