KCH representations, augmentations, and $A$-polynomials
Geometric Topology
2017-06-07 v3
Abstract
We describe a correspondence between augmentations and certain representations of the knot group. The correspondence makes the 2-variable augmentation polynomial into a generalization of the classical -polynomial. It also associates to an augmentation a rank, which is bounded by the bridge number and shares its behavior under connect sums. We also study augmentations with rank equal to the braid index.
Cite
@article{arxiv.1310.7526,
title = {KCH representations, augmentations, and $A$-polynomials},
author = {Christopher Cornwell},
journal= {arXiv preprint arXiv:1310.7526},
year = {2017}
}
Comments
Revised published version, 23 pages