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

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

2009-01-13

arxiv.org/abs/0901.1783v1

Mathematics

Algebraic Geometry

7 pages, 1 figure

Scientific paper

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

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