70 citations · 480 across the 69 of their papers we have counts for
4 papers · 2 filters
Leafwise smoothing laminations
Danny Calegari
We show that every topological surface lamination of a 3-manifold M is isotopic to one with smoothly immersed leaves. This carries out a project proposed by Gabai in [Problems in f…
Bounded cochains on 3-manifolds
Danny Calegari
We study the large-scale geometry of 3-manifolds with nontrivial 2-dimensional bounded cohomology, with a view to proving a weak version of the geometrization conjecture for such m…
Commensurability of 1-cusped hyperbolic 3-manifolds
Danny Calegari, Nathan M. Dunfield
We give examples of non-fibered hyperbolic knot complements in homology spheres that are not commensurable to fibered knot complements in homology spheres. In fact, we give many ex…
Foliations with one-sided branching
Danny Calegari
We show that for a taut foliation F with one-sided branching of an atoroidal 3-manifold M, one can construct a pair of genuine laminations with solid torus complementary regions wh…