33 citations · 168 across the 48 of their papers we have counts for
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math.GT2011
Core curves of triangulated solid tori
Marc Lackenby
We show that in any triangulation of a solid torus, there is a pre-core curve that lies in the 2-skeleton and that intersects the interior of each face in at most 10 straight arcs.…
math.GT2011★ 4 cited
The crossing number of satellite knots
Marc Lackenby
We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion knot.
math.GT2011★ 1 cited
An upper bound on Reidemeister moves
Alexander Coward, Marc Lackenby
We provide an explicit upper bound on the number of Reidemeister moves required to pass between two diagrams of the same link. This leads to a conceptually simple solution to the e…