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Deformations of reducible representations of knot groups into $\operatorname{SL}(n,\mathbf{C})$

In: Mathematica Slovaca, vol. 66, no. 5
Michael Heusener - Ouardia Medjerab

Details:

Year, pages: 2016, 1091 - 1104
Keywords:
representations of knot groups, $\operatorname{SL}(n,\mathbf{C})$-representation variety, metabelian representations
About article:
Let $K$ be a knot in $S3$ and $X$ its complement. We study deformations of non-abelian, metabelian, reducible representations of the knot group $π1(X)$ into $SL(n,\mathbf{C})$ which are associated to a simple root of the Alexander polynomial. We prove that some of these metabelian reducible representations are smooth points of the $SL(n,\mathbf{C})$-representation variety and that they have irreducible deformations.
How to cite:
ISO 690:
Heusener, M., Medjerab, O. 2016. Deformations of reducible representations of knot groups into $\operatorname{SL}(n,\mathbf{C})$. In Mathematica Slovaca, vol. 66, no.5, pp. 1091-1104. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0206

APA:
Heusener, M., Medjerab, O. (2016). Deformations of reducible representations of knot groups into $\operatorname{SL}(n,\mathbf{C})$. Mathematica Slovaca, 66(5), 1091-1104. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0206
About edition:
Published: 1. 10. 2016