The SL(2,C)-character varieties of torus knots

Vicente Muñoz

The SL(2,C)-character varieties of torus knots

Algebraic Geometry 2009-01-14 v1

Authors: Vicente Muñoz

Abstract

Let $G$ be the fundamental group of the complement of the torus knot of type $(m,n)$ . This has a presentation $G=<x,y|x^m=y^n>$ . We find the geometric description of the character variety $X(G)$ of characters of representations of $G$ into $SL(2,C)$ .

Keywords

character variety SL(2,C) representation torus knot fundamental group geometric description

Cite

@article{arxiv.0901.1783,
  title  = {The SL(2,C)-character varieties of torus knots},
  author = {Vicente Muñoz},
  journal= {arXiv preprint arXiv:0901.1783},
  year   = {2009}
}

Comments

7 pages, 1 figure

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