Dynamical Zeta Functions in the Nonorientable Case
Differential Geometry
2021-10-27 v2 Dynamical Systems
Abstract
We use a simple argument to extend the microlocal proofs of meromorphicity of dynamical zeta functions to the nonorientable case. In the special case of geodesic flow on a connected non-orientable negatively curved closed surface, we compute the order of vanishing of the zeta function at the zero point to be the first Betti number of the surface.
Keywords
Cite
@article{arxiv.2007.08043,
title = {Dynamical Zeta Functions in the Nonorientable Case},
author = {Yonah Borns-Weil and Shu Shen},
journal= {arXiv preprint arXiv:2007.08043},
year = {2021}
}
Comments
15 pages