The A-polynomial And Holonomy Perturbations
Geometric Topology
2015-03-24 v2
Abstract
Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in is nontrivial. In this paper, we use holonomy perturbations to prove the non-triviality of the A-polynomial for a nontrivial, null-homotopic knot in an irreducible 3-manifold. Also, we give a strong constraint on the A-polynomial of a knot in the 3-sphere.
Cite
@article{arxiv.1304.7232,
title = {The A-polynomial And Holonomy Perturbations},
author = {Jianfeng Lin},
journal= {arXiv preprint arXiv:1304.7232},
year = {2015}
}
Comments
12 pages, 2 figures. Typos corrected. Added Lemma 3.2