Small isospectral and nonisometric orbifolds of dimension 2 and 3
Geometric Topology
2015-07-29 v2 Number Theory
Abstract
Revisiting a construction due to Vigneras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.
Keywords
Cite
@article{arxiv.1408.2001,
title = {Small isospectral and nonisometric orbifolds of dimension 2 and 3},
author = {Benjamin Linowitz and John Voight},
journal= {arXiv preprint arXiv:1408.2001},
year = {2015}
}
Comments
48 pages, 12 figures, updated following final suggestions