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The SL(2,C)-Character Varieties of Torus Knots

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Muñoz, Vicente (2009) The SL(2,C)-Character Varieties of Torus Knots. Revista matemática complutense, 22 (2). pp. 489-497. ISSN 1988-2807

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Official URL: http://www.mat.ucm.es/serv/revmat/vol22-2/vol22-2f.pdf




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 vertical bar 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).


Item Type:Article
Uncontrolled Keywords:Torus knot; Characters; Representations
Subjects:Sciences > Mathematics > Algebraic geometry
Sciences > Mathematics > Topology
ID Code:17031
Deposited On:06 Nov 2012 12:21
Last Modified:12 Dec 2018 15:13

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