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arXiv:0901.1783 [math.AG]AbstractReferencesReviewsResources

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

Vicente Muñoz

Published 2009-01-13Version 1

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 $SL(2,C)$.

Comments: 7 pages, 1 figure
Categories: math.AG
Subjects: 57M25, 57M27
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