74 citations · 620 across the 41 of their papers we have counts for
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cs.CG2010
The Least Spanning Area of a Knot and the Optimal Bounding Chain Problem
Nathan M. Dunfield, Anil N. Hirani
Two fundamental objects in knot theory are the minimal genus surface and the least area surface bounded by a knot in a 3-dimensional manifold. When the knot is embedded in a genera…
math.GT2010★ 8 cited
Quantum invariants of random 3-manifolds
Nathan M. Dunfield, Helen Wong
We consider the SO(3) Witten-Reshetikhin-Turaev quantum invariants of random 3-manifolds. When the level r is prime, we show that the asymptotic distribution of the absolute value…
math.GT2010★ 18 cited
Closed surface bundles of least volume
John William Aaber, Nathan M. Dunfield
Since the set of volumes of hyperbolic 3-manifolds is well ordered, for each fixed g there is a genus-g surface bundle over the circle of minimal volume. Here, we introduce an expl…