Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps (Q841496)
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scientific article; zbMATH DE number 5604501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps |
scientific article; zbMATH DE number 5604501 |
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Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps (English)
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17 September 2009
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The paper derives a relationship between the leading coefficient of the Laurent expansion of the Ruelle zeta function at \(s=0\) and the analytic torsion for hyperbolic manifolds with cusps. The analytic torsion is defined by a certain regularized trace following \textit{R. B. Melrose} [The Atiyah-Patodi-Singer index theorem. Wellesley, MA: A. K. Peters (1993; Zbl 0796.58050)]. The paper extends to the noncompact case the well-known results of \textit{D. Fried} [Invent. Math. 84, 523--540 (1986; Zbl 0621.53035)].
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analytic torsion
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Ruelle zeta function
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Selberg trace formula
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