44 citations · 90 across the 17 of their papers we have counts for
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math.GT2006★ 44 cited
Commensurability classes of 2-bridge knot complements
Alan W. Reid, Genevieve S. Walsh
We show that a hyperbolic 2-bridge knot complement is the unique knot complement in its commensurability class. We also discuss constructions of commensurable hyperbolic knot compl…
math.GT2006★ 10 cited
Three-manifolds, virtual homology, and group determinants
Daryl Cooper, Genevieve S Walsh
We apply representation theory to study the homology of equivariant Dehn-fillings of a given finite, regular cover of a compact 3-manifold with boundary a torus. This yields a poly…