64 citations · 247 across the 36 of their papers we have counts for
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math.GT2009★ 10 cited
Commensurators of non-free finitely generated Kleinian groups
C. J. Leininger, D. D. Long, A. W. Reid
Suppose G is a non-free finitely generated Kleinian group without parabolics which is not a lattice and let C(G) denote the commensurator in PSL(2,C). We prove that if the limit se…
math.GT2009★ 9 cited
Simon's conjecture for 2-bridge knots
Michel Boileau, Steve Boyer, Alan W. Reid +1
It is conjectured that for each knot in , the fundamental group of its complement surjects onto only finitely many distinct knot groups. Applying character variety theory…
math.GT2009
The genus spectrum of a hyperbolic 3-manifold
D. B. McReynolds, Alan W. Reid
In this article we study the spectrum of totally geodesic surfaces of a finite volume hyperbolic 3-manifold. We show that for arithmetic hyperbolic 3-manifolds that contain a total…