Isospectral hyperbolic surfaces of infinite genus
arXiv:2012.07344
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.
arXiv comment12 pages, 2 figures