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arXiv · 2007.08043

Dynamical Zeta Functions in the Nonorientable Case

Yonah Borns-Weil·Shu Shen
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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.

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Yonah Borns-Weil, Shu Shen. 2020-07-16. Dynamical Zeta Functions in the Nonorientable Case. https://doi.org/10.1088/1361-6544/ac21a5

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