All roots of unity are detected by the A-polynomial
几何拓扑
2014-10-01 v2
摘要
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.
引用
@article{arxiv.math/0411205,
title = {All roots of unity are detected by the A-polynomial},
author = {Eric Chesebro},
journal= {arXiv preprint arXiv:math/0411205},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-11.abs.html