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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.05236 |
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| _version_ | 1866915837521166336 |
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| author | Chung, Hee-Joong |
| author_facet | Chung, Hee-Joong |
| contents | We realize a homological block of a knot complement in $S^3$ for $G_{\mathbb{C}}=SL(2,\mathbb{C})$ as a half-index of a 3d $\mathcal{N}=2$ theory via an expression of the homological block as an inverted Habiro series by working out some examples, which we expect to extend to general knots. Also, by choosing a certain set of poles in the integral expression of the half-index, we obtain the colored Jones polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05236 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 3d-3d correspondence and abelian flat connection Chung, Hee-Joong High Energy Physics - Theory Mathematical Physics Geometric Topology We realize a homological block of a knot complement in $S^3$ for $G_{\mathbb{C}}=SL(2,\mathbb{C})$ as a half-index of a 3d $\mathcal{N}=2$ theory via an expression of the homological block as an inverted Habiro series by working out some examples, which we expect to extend to general knots. Also, by choosing a certain set of poles in the integral expression of the half-index, we obtain the colored Jones polynomial. |
| title | 3d-3d correspondence and abelian flat connection |
| topic | High Energy Physics - Theory Mathematical Physics Geometric Topology |
| url | https://arxiv.org/abs/2603.05236 |