On the Potential Function of the Colored Jones Polynomial and the AJ conjecture
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866911292745318400 |
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| author | Sawabe, Shun |
| author_facet | Sawabe, Shun |
| contents | The $A$-polynomial is conjectured to be obtained from the potential function of the colored Jones polynomial by elimination. The AJ conjecture also implies the relationship between the $A$-polynomial and the colored Jones polynomial. In this paper, we connect these conjectures from the perspective of the parametrized potential function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09294 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Potential Function of the Colored Jones Polynomial and the AJ conjecture Sawabe, Shun Geometric Topology 57K14, 57K31, 57K32 The $A$-polynomial is conjectured to be obtained from the potential function of the colored Jones polynomial by elimination. The AJ conjecture also implies the relationship between the $A$-polynomial and the colored Jones polynomial. In this paper, we connect these conjectures from the perspective of the parametrized potential function. |
| title | On the Potential Function of the Colored Jones Polynomial and the AJ conjecture |
| topic | Geometric Topology 57K14, 57K31, 57K32 |
| url | https://arxiv.org/abs/2212.09294 |