Analytic Torsion and Spectral Gap Capture Persistent-Laplacian Performance

arXiv·low signal

Investigates why persistent Laplacians (a richer alternative to persistent homology in topological data analysis) perform as they do, linking their effectiveness to analytic torsion and the spectral gap rather than the full eigenspectrum. A theoretical contribution for TDA researchers seeking cheaper, more interpretable summaries of persistent-Laplacian spectra.