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arXiv · 1707.03005

Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links

Haimiao Chen
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Abstract

Given a link $L\subset S^3$, a representation $π_1(S^3-L)\to{\rm SL}(2,\mathbb{C})$ is {\it trace-free} if it sends each meridian to an element with trace zero. We present a method for completely determining trace-free ${\rm SL}(2,\mathbb{C})$-representations for arborescent links. Concrete computations are done for a class of 3-bridge arborescent links.

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Haimiao Chen. 2018-10-20. Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links. https://doi.org/10.1007/s10998-018-0261-0

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