Corpus ID: 220546338

Dynamical Zeta Functions in the Nonorientable Case

@article{BornsWeil2020DynamicalZF,
  title={Dynamical Zeta Functions in the Nonorientable Case},
  author={Yonah Borns-Weil and Shu Shen},
  journal={arXiv: Differential Geometry},
  year={2020}
}
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. 
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