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arXiv · 1202.3241

The SU(2)-character varieties of torus knots

Javier Martínez-Martínez·Vicente Muñoz
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Abstract

Let G be the fundamental group of the complement of the torus knot of type (m,n). We study the relationship between SU(2) and SL(2,C)-representations of this group, looking at their characters. Using the description of the SL(2,C)-character variety of G, X(G), we give a geometric description of Y(G)\subset X(G), the set of characters arising from SU(2)-representations.

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Javier Martínez-Martínez, Vicente Muñoz. 2012-02-15. The SU(2)-character varieties of torus knots. https://arxiv.org/abs/1202.3241

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