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arXiv · 2607.12977

A Theorem of Wolpert, and some Variations

Ludovico Battista·Nolwenn Le Quellec·Juan Souto
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Abstract

We give a streamlined proof of the fact that generically, isospectral hyperbolic surfaces are isometric. We also prove some versions of this result allowing for quasi-Fuchsian groups or considering the simple length spectrum.

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Ludovico Battista, Nolwenn Le Quellec, Juan Souto. 2026-07-14. A Theorem of Wolpert, and some Variations. https://arxiv.org/abs/2607.12977

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