Detecting essential surfaces as intersections in the character variety
Geometric Topology
2018-03-16 v2 Representation Theory
Abstract
We describe a family of hyperbolic knots whose character variety contain exactly two distinct components of characters of irreducible representations. The intersection points between the components carry rich topological information. In particular, these points are non-integral and detect the Seifert surface.
Cite
@article{arxiv.1609.04780,
title = {Detecting essential surfaces as intersections in the character variety},
author = {Michelle Chu},
journal= {arXiv preprint arXiv:1609.04780},
year = {2018}
}
Comments
v2: 17 pages, 4 figures. Corrected an error and added Lemma 4.4