The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917388410159104 |
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| author | Chen, Haimiao |
| author_facet | Chen, Haimiao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05957 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold Chen, Haimiao Geometric Topology 57K10, 57K31 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. |
| title | The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold |
| topic | Geometric Topology 57K10, 57K31 |
| url | https://arxiv.org/abs/2604.05957 |