Corpus ID: 221534451

Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces

@article{Shen2020ComplexVA,
  title={Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces},
  author={Shu Shen},
  journal={arXiv: Differential Geometry},
  year={2020}
}
  • Shu Shen
  • Published 2020
  • Mathematics
  • arXiv: Differential Geometry
We show that the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to the whole complex plane and that its leading term in the Laurent series at the zero point is related to the regularised determinant of the flat Laplacian of Cappell-Miller. When the flat vector bundle is close to an acyclic and unitary one, we show that the dynamical zeta function is regular at the zero point and that its… Expand
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