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arXiv · 2604.05957

The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold

Haimiao Chen
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Abstract

We determine the irreducible ${\rm SL}(2,\mathbb{C})$-character variety of the 3-chain link exterior which is called the `magic $3$-manifold', and deduce a formula for the twisted Alexander polynomial associated to each ${\rm SL}(2,\mathbb{C})$-representation.

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Haimiao Chen. 2026-04-07. The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold. https://arxiv.org/abs/2604.05957

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