Absolute profinite rigidity of some closed fibered hyperbolic 3-manifolds

2022/05/18 by Cheetham-West, Tamunonye
#20E18 #30F40 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2205.08693

Abstract

We give the first examples of closed fibered hyperbolic 3-manifolds whose fundamental groups are distinguished from every other finitely generated, residually finite group by their finite quotients. One of the examples is also the first example of a non-orientable profinitely rigid hyperbolic 3-manifold.

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• On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the A-polynomial

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