Isospectral hyperbolic surfaces of infinite genus
Geometric Topology
2020-12-15 v1 Differential Geometry
Abstract
We show that any infinite-type surface without planar ends admits arbitrarily large families of length isospectral hyperbolic structures. If the surface has infinite genus and its space of ends is self-similar, we construct an uncountable family of isospectral and quasiconformally distinct hyperbolic structures.
Cite
@article{arxiv.2012.07344,
title = {Isospectral hyperbolic surfaces of infinite genus},
author = {Federica Fanoni},
journal= {arXiv preprint arXiv:2012.07344},
year = {2020}
}
Comments
12 pages, 2 figures