Isospectral hyperbolic surfaces of infinite genus

Published 14 Dec 2020 in math.GT and math.DG | (2012.07344v1)

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.

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Federica Fanoni

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