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

  • Vicente Muñoz
Keywords: Torus knot, Characters, Representations

Abstract

Let G be the fundamental group of the complement of the torus knot of type (m, n). This has a presentation G = ‹x, y | xm‪‪= yⁿ›. 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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Published
2009-07-27
How to Cite
Muñoz V. . (2009). The SL(2,C)-character varieties of torus knots. Revista Matemática Complutense, 22(2), 489-497. https://doi.org/10.5209/rev_REMA.2009.v22.n2.16290
Section
Articles