The SU(2)-character varieties of torus knots

Details The SU(2)-character varieties of torus knots The SU(2)-character varieties of torus knots

2012-02-15

arxiv.org/abs/1202.3241v2

Mathematics

Algebraic Geometry

13 pages, 2 figures; v2. Reference updated

Scientific paper

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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