Persistence barcodes and Laplace eigenfunctions on surfaces
Spectral Theory
2019-02-07 v3 Analysis of PDEs
Algebraic Topology
Abstract
We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics. Some applications to uniform approximation by linear combinations of Laplace eigenfunctions are also discussed.
Cite
@article{arxiv.1711.07577,
title = {Persistence barcodes and Laplace eigenfunctions on surfaces},
author = {Iosif Polterovich and Leonid Polterovich and Vukašin Stojisavljević},
journal= {arXiv preprint arXiv:1711.07577},
year = {2019}
}
Comments
Revised version; some references added