Arborescent links and modular tails
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915258307706880 |
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| author | Osburn, Robert Storzer, Matthias |
| author_facet | Osburn, Robert Storzer, Matthias |
| contents | We prove an explicit formula for the tail of the colored Jones polynomial for a class of arborescent links in terms of a product of theta functions and/or false theta functions. We also provide numerical evidence towards a classification of the modularity of tails of the colored Jones polynomial for alternating knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arborescent links and modular tails Osburn, Robert Storzer, Matthias Geometric Topology Number Theory 57K10, 57K14, 57M15, 11F27 We prove an explicit formula for the tail of the colored Jones polynomial for a class of arborescent links in terms of a product of theta functions and/or false theta functions. We also provide numerical evidence towards a classification of the modularity of tails of the colored Jones polynomial for alternating knots. |
| title | Arborescent links and modular tails |
| topic | Geometric Topology Number Theory 57K10, 57K14, 57M15, 11F27 |
| url | https://arxiv.org/abs/2504.18060 |