arXiv subjects

Nolwenn Le Quellec

Publications and source records attributed to Nolwenn Le Quellec.

3 recordsLinked to original sources

arXiv2026

Orthospectrum and simple orthospectrum rigidity: finiteness and genericity

We study the orthospectrum and the simple orthospectrum of compact hyperbolic surfaces with geodesic boundary. We show that there are finitely many hyperbolic surfaces sharing the same simple orthospectrum and finitely many hyperbolic surfaces sharing the same orthospectrum. Then, we show that generic surfaces are determined by their orthospectrum and by their simple orthospectrum. We conclude with the example of the one-holed torus which is determined by its simple orthospectrum. In this second version of the paper an error in the proof of Theorem 3.3 was corrected as well as its consequences on the rest of the paper. The main results remain true.

math.GT↗

arXiv2026

A Theorem of Wolpert, and some Variations

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.

math.GT↗

arXiv2026

Ergodic Geodesic Flows and First Kind Flute Surfaces

We study flute surfaces and extend results of Pandazis and Šarić giving necessary and sufficient conditions on the Fenchel-Nielsen coordinates of the surface to be of the first kind. As a consequence of the first result, we characterize parabolic flute surfaces (i.e. flute surfaces with ergodic geodesic flow) with twist parameters in {0,1/2}, extending the work of Pandazis and Šarić.

math.GT↗