33 citations · 168 across the 48 of their papers we have counts for
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math.GT2013
Geodesics and compression bodies
Marc Lackenby, Jessica S. Purcell
We consider hyperbolic structures on the compression body C with genus 2 positive boundary and genus 1 negative boundary. Note that C deformation retracts to the union of the torus…
math.GT2013
A polynomial upper bound on Reidemeister moves
Marc Lackenby
We prove that any diagram of the unknot with c crossings may be reduced to the trivial diagram using at most (236 c)^{11} Reidemeister moves. Moreover, every diagram in this sequen…