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

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

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
$SL(2,\mathbb{C})$ character variety (as defined in \cite{cus}) of the torus
knots of type $(m,2)$ with $m>1$ being an odd integer.

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