4 citations · 4 across the 5 of their papers we have counts for
13 papers
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…
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…
Dynamical forcing of circular groups
Danny Calegari
In this paper we introduce and study the notion of dynamical forcing. Basically, we develop a toolkit of techniques to produce finitely presented groups which can only act on the c…
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…