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arXiv · 2106.07604

Poincar\'e series for surfaces with boundary

Yann Chaubet
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Abstract

We show that the Poincar\'e series counting orthogeodesics of a negatively curved surface with totally geodesic boundary extends meromorphically to the whole complex plane, as well as the series counting geodesic arcs linking two points; we also give their value at zero.

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Yann Chaubet. 2021-06-14. Poincar\'e series for surfaces with boundary. https://doi.org/10.1088/1361-6544/ac9507

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