Finite quotients detect taut polynomials of fibered faces for hyperbolic 3-manifolds with fully-punctured monodromy via a framework for profinite invariance of twisted multivariable Alexander polynomials; some one-cusped examples are shown to be profinitely rigid.
arXiv:2406.14667
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Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
Finite quotients detect taut polynomials of fibered faces for hyperbolic 3-manifolds with fully-punctured monodromy via a framework for profinite invariance of twisted multivariable Alexander polynomials; some one-cusped examples are shown to be profinitely rigid.