#### Volume 5, issue 1 (2005)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
All roots of unity are detected by the A–polynomial

### Eric Chesebro

Algebraic & Geometric Topology 5 (2005) 207–217
 arXiv: math.GT/0411205
##### Abstract

For an arbitrary positive integer $n$, we construct infinitely many one-cusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every ${n}^{th}$ root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner.

##### Keywords
character variety, ideal point, A–polynomial
Primary: 57M27
Secondary: 57M50