On the asymptotics of the analytic torsion for compact hyperbolic orbifolds
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🧮 math.SP
math.DG
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analytictorsiongammahyperbolicorbifoldsassociatedasymptoticasymptotics
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We study the analytic torsion of odd-dimensional hyperbolic orbifolds $\Gamma \backslash \mathbb{H}^{2n+1}$, depending on a representation of $\Gamma$. Our main goal is to understand the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights.
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