33 citations · 168 across the 48 of their papers we have counts for
Showing 2001 · math.GTShow all
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math.GT2001
The canonical decomposition of once-punctured torus bundles
Marc Lackenby
In this paper, we determine the canonical polyhedral decomposition of every hyperbolic once-punctured torus bundle over the circle. In fact, we show that the only ideal polyhedral…
math.GT2001★ 11 cited
Attaching handlebodies to 3-manifolds
Marc Lackenby
The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3-manifold. The existence of a finite…
math.GT2001★ 1 cited
Classification of alternating knots with tunnel number one
Marc Lackenby
This paper gives a complete classification of all alternating knots with tunnel number one, and all their unknotting tunnels. We prove that the only such knots are two-bridge knots…