Topological aspects of $\mathbb{Z}/2\mathbb{Z}$ eigenfunctions for the Laplacian on $S^2$
Differential Geometry
2022-07-26 v2 Analysis of PDEs
Abstract
This paper concerns the behavior of the eigenfunctions and eigenvalues of the round sphere's Laplacian acting on the space of sections of a real line bundle which is defined on the complement of an even numbers of points in . Of particular interest is how these eigenvalues and eigenvectors change when viewed as functions on the configuration spaces of points.
Cite
@article{arxiv.2108.05017,
title = {Topological aspects of $\mathbb{Z}/2\mathbb{Z}$ eigenfunctions for the Laplacian on $S^2$},
author = {Clifford Henry Taubes and Yingying Wu},
journal= {arXiv preprint arXiv:2108.05017},
year = {2022}
}