Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866912199856881664 |
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| author | Chen, Haimiao |
| author_facet | Chen, Haimiao |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1707_03005 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links Chen, Haimiao Geometric Topology 57M25, 57M27 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. |
| title | Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links |
| topic | Geometric Topology 57M25, 57M27 |
| url | https://arxiv.org/abs/1707.03005 |