Work

A Theorem of Wolpert, and some Variations

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.12977

Authors: Battista, Ludovico, Quellec, Nolwenn Le, Souto, Juan

Institutions: Centre National de la Recherche Scientifique, Institut de Physique de Rennes, Max Planck Institute for Mathematics, Université de Rennes, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Gustave Eiffel

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7168345015

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