English

The $SL(2,\mathbb{C}) character variety ofa class of torus knots

Geometric Topology 2008-12-18 v1 Algebraic Topology Representation Theory

Abstract

In this paper we present some families of polynomials and use them to find, using the techniques in \cite{gma}, a defining polynomial for the SL(2,C)SL(2,\mathbb{C}) character variety (as defined in \cite{cus}) of the torus knots of type (m,2)(m,2) with m>1m>1 being an odd integer.

Keywords

Cite

@article{arxiv.math/0609490,
  title  = {The $SL(2,\mathbb{C}) character variety ofa class of torus knots},
  author = {Antonio M. Oller},
  journal= {arXiv preprint arXiv:math/0609490},
  year   = {2008}
}