All roots of unity are detected by the A-polynomial
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2004
- DOI:
- 10.48550/arXiv.math/0411205
- arXiv:
- arXiv:math/0411205
- Bibcode:
- 2004math.....11205C
- Keywords:
-
- Mathematics - Geometric Topology;
- 57M27;
- 57M50
- E-Print:
- Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-11.abs.html