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Geometry of the SL(3,ℂ)-character variety of torus knots.

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Muñoz, Vicente and Porti, J. (2016) Geometry of the SL(3,ℂ)-character variety of torus knots. Algebraic and Geometric Topology, 16 . pp. 397-426. ISSN 1472-2747

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Official URL: http://msp.org/agt/2016/16-1/agt-v16-n1-p09-s.pdf


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Abstract

Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = <x, y | xm = yn>. We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).


Item Type:Article
Uncontrolled Keywords:Torus knot; Characters; Representations
Subjects:Sciences > Mathematics > Geometry
ID Code:37764
Deposited On:19 May 2016 08:58
Last Modified:12 Dec 2018 15:12

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