Volume 16, issue 1 (2016)

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Geometry of the ${\rm SL}(3,\mathbb C)$–character variety of torus knots

Vicente Muñoz and Joan Porti

Algebraic & Geometric Topology 16 (2016) 397–426
Bibliography
1 M Culler, P B Shalen, Varieties of group representations and splittings of 3–manifolds, Ann. of Math. 117 (1983) 109 MR683804
2 T Hausel, M Thaddeus, Mirror symmetry, Langlands duality, and the Hitchin system, Invent. Math. 153 (2003) 197 MR1990670
3 M Heusener, J Porti, Representations of knot groups into SLn() and twisted Alexander polynomials, Pacific J. Math. 277 (2015) 313 MR3402353
4 M Heusener, J Porti, E Suárez Peiró, Deformations of reducible representations of 3–manifold groups into SL2(C), J. Reine Angew. Math. 530 (2001) 191 MR1807271
5 N J Hitchin, The self-duality equations on a Riemann surface, Proc. London Math. Soc. 55 (1987) 59 MR887284
6 T Kitano, T Morifuji, Twisted Alexander polynomials for irreducible SL(2, )–representations of torus knots, Ann. Sc. Norm. Super. Pisa Cl. Sci. 11 (2012) 395 MR3011996
7 S Lawton, Minimal affine coordinates for SL(3, ) character varieties of free groups, J. Algebra 320 (2008) 3773 MR2457722
8 S Lawton, V Muñoz, E–polynomial of the SL(3, )–character variety of free groups, (2014) arXiv:1405.0816
9 M Logares, V Muñoz, P E Newstead, Hodge polynomials of SL(2, )–character varieties for curves of small genus, Rev. Mat. Complut. 26 (2013) 635 MR3068615
10 A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, 336, Amer. Math. Soc. (1985) MR818915
11 J Martín-Morales, A M Oller-Marcén, Combinatorial aspects of the character variety of a family of one-relator groups, Topology Appl. 156 (2009) 2376 MR2547783
12 V Muñoz, The SL(2, )–character varieties of torus knots, Rev. Mat. Complut. 22 (2009) 489 MR2553945
13 D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
14 A S Sikora, Generating sets for coordinate rings of character varieties, J. Pure Appl. Algebra 217 (2013) 2076 MR3057078