70 citations · 480 across the 69 of their papers we have counts for
4 papers · 1 filter
An ascending HNN extension of a free group inside SL(2,C)
Danny Calegari, Nathan M. Dunfield
We give an example of a subgroup of SL(2,C) which is a strictly ascending HNN extension of a non-abelian finitely generated free group F. In particular, we exhibit a free group F i…
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…
Universal circles for quasigeodesic flows
Danny Calegari
We show that if M is a hyperbolic 3-manifold which admits a quasigeodesic flow, then pi_1(M) acts faithfully on a universal circle by homeomorphisms, and preserves a pair of invari…
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…