All roots of unity are detected by the A-polynomial

Details All roots of unity are detected by the A-polynomial All roots of unity are detected by the A-polynomial

2004-11-09

arxiv.org/abs/math/0411205v2

Algebr. Geom. Topol. 5 (2005) 207-217

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-11.abs.html

Scientific paper

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.

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