8 citations · 8 across the 2 of their papers we have counts for
6 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…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
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…
Alexander and Thurston norms of fibered 3-manifolds
Nathan M. Dunfield
For a 3-manifold M, McMullen derived from the Alexander polynomial of M a norm on H^1(M, R) called the Alexander norm. He showed that the Thurston norm on H^1(M, R), which measures…
Lower bounds on volumes of hyperbolic Haken 3-manifolds
Ian Agol
In this paper, we find lower bounds for volumes of hyperbolic 3-manifolds with various topological conditions. Let V_3 = 1.01494 denote the volume of a regular ideal simplex in hyp…
Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds
Nathan M. Dunfield
This paper gives examples of hyperbolic 3-manifolds whose SL(2,C) character varieties have ideal points whose associated roots of unity are not 1 or -1. This answers a question of…