74 citations · 620 across the 41 of their papers we have counts for
4 papers · 2 filters
A random tunnel number one 3-manifold does not fiber over the circle
Nathan M Dunfield, Dylan P Thurston
We address the question: how common is it for a 3-manifold to fiber over the circle? One motivation for considering this is to give insight into the fairly inscrutable Virtual Fibr…
Automorphic forms and rational homology 3--spheres
Frank Calegari, Nathan M Dunfield
We investigate a question of Cooper adjacent to the Virtual Haken Conjecture. Assuming certain conjectures in number theory, we show that there exist hyperbolic rational homology 3…
The Superpolynomial for Knot Homologies
Nathan M. Dunfield, Sergei Gukov, Jacob Rasmussen
We propose a framework for unifying the sl(N) Khovanov-Rozansky homology (for all N) with the knot Floer homology. We argue that this unification should be accomplished by a triply…
Finite covers of random 3-manifolds
Nathan M. Dunfield, William P. Thurston
A 3-manifold is Haken if it contains a topologically essential surface. The Virtual Haken Conjecture posits that every irreducible 3-manifold with infinite fundamental group has a…