The SU(2)-character varieties of torus knots
Algebraic Geometry
2012-02-24 v2
Abstract
Let G be the fundamental group of the complement of the torus knot of type (m,n). We study the relationship between SU(2) and SL(2,C)-representations of this group, looking at their characters. Using the description of the SL(2,C)-character variety of G, X(G), we give a geometric description of Y(G)\subset X(G), the set of characters arising from SU(2)-representations.
Cite
@article{arxiv.1202.3241,
title = {The SU(2)-character varieties of torus knots},
author = {Javier Martínez-Martínez and Vicente Muñoz},
journal= {arXiv preprint arXiv:1202.3241},
year = {2012}
}
Comments
13 pages, 2 figures; v2. Reference updated