4 citations · 4 across the 5 of their papers we have counts for
10 papers · 1 filter
Shrinkwrapping and the taming of hyperbolic 3-manifolds
Danny Calegari, David Gabai
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental g…
Circular groups, planar groups, and the Euler class
Danny Calegari
We study groups of C^1 orientation-preserving homeomorphisms of the plane, and pursue analogies between such groups and circularly-orderable groups. We show that every such group w…
Problems in foliations and laminations of 3-manifolds
Danny Calegari
This is a problem list in the theory of foliations and laminations of 3-manifolds. The focus is on the relationship of foliations and laminations with other aspects of 3-manifold t…
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…
A note on strong geometric isolation in 3-orbifolds
Danny Calegari
Neumann and Reid described in their paper "Rigidity of cusps in deformations of hyperbolic 3-orbifolds" (Math Ann. 295 (1993) no. 2, 223--237) a 2-cusped hyperbolic 3-orbifold in w…
Almost continuous extension for taut foliations
Danny Calegari
A taut foliation of a hyperbolic 3-manifold has the continuous extension property for leaves in almost every direction; that is, for each leaf of the universal cover of the foliati…