Abstract
Abstract We formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a ℤ {{\mathbb{Z}}} -cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley’s parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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