Biblioteca de la Universidad Complutense de Madrid

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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Resumen

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).


Tipo de documento:Artículo
Palabras clave:Torus knot; Characters; Representations
Materias:Ciencias > Matemáticas > Geometria algebraica
Ciencias > Matemáticas > Topología
Código ID:17031
Referencias:

M. Culler and P. B. Shalen, Varieties of group representations and splittings of 3-manifolds,Ann. of Math. (2) 117 (1983), no. 1, 109–146.

J. Martın-Morales and A-M. Oller-Marcen, On the varieties of representations and characters of a family of one-relator subgroups, arXiv:0805.4716.

A-M. Oller-Marc´en, The SL(2, C) character variety of a class of torus knots, Extracta Math. 23 (2008), no. 2, 163–172.

D. Rolfsen, Knots and links, Mathematics Lecture Series, vol. 7, Publish or Perish Inc., Houston,TX, 1990. Corrected reprint of the 1976 original.

Depositado:06 Nov 2012 12:21
Última Modificación:07 Feb 2014 09:40

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