7 citations · 19 across the 11 of their papers we have counts for
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math.GT2008★ 1 cited
Spectral geometry, link complements and surgery diagrams
Marc Lackenby
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-volume hyperbolic 3-manifold M, in terms of data from any surgery diagram for M.…
math.GT2008★ 3 cited
The maximal number of exceptional Dehn surgeries
Marc Lackenby, Robert Meyerhoff
We prove two conjectures of C. Gordon. We show that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that the maximal intersection nu…
math.GT2008
LERF and the Lubotzky-Sarnak conjecture
M. Lackenby, D. D. Long, A. W. Reid
We prove that every closed hyperbolic 3-manifold has a family of (possibly infinite sheeted) coverings with the property that the Cheeger constants in the family tend to zero. This…