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The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister–Turaev torsion
Let X be a compact hyperbolic surface with finite order singularities, X 1 its unit tangent bundle. We consider the Ruelle zeta function R(s;ρ) associated to a representation ρ:π 1 (X 1 )→GL(V ρ ). If ρ does not factor through π 1 (X), we show that the value at …