On the (in)finiteness of the image of Reshetikhin-Turaev representations

Julien Korinman

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arXiv · 1412.2671

On the (in)finiteness of the image of Reshetikhin-Turaev representations

Julien Korinman

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Abstract

We state a simple criterion to prove the infiniteness of the image of Reshetikhin-Turaev irreducible representations of the mapping class groups of surfaces. We use it to study some of the Reshetikhin-Turaev representations associated to the tori with one and two punctures and derive an alternative proof of a result of Funar.

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Julien Korinman. 2014-12-08. On the (in)finiteness of the image of Reshetikhin-Turaev representations. https://arxiv.org/abs/1412.2671

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