Poincar\'e series for surfaces with boundary
Differential Geometry
2024-04-18 v2 Dynamical Systems
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.
Cite
@article{arxiv.2106.07604,
title = {Poincar\'e series for surfaces with boundary},
author = {Yann Chaubet},
journal= {arXiv preprint arXiv:2106.07604},
year = {2024}
}