On the Jones polynomial modulo primes
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911763284361216 |
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| author | Aiello, Valeriano Baader, Sebastian Ferretti, Livio |
| author_facet | Aiello, Valeriano Baader, Sebastian Ferretti, Livio |
| contents | We derive an upper bound on the density of Jones polynomials of knots modulo a prime number $p$, within a sufficiently large degree range: $4/p^7$. As an application, we classify knot Jones polynomials modulo two of span up to eight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_12259 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Jones polynomial modulo primes Aiello, Valeriano Baader, Sebastian Ferretti, Livio Geometric Topology We derive an upper bound on the density of Jones polynomials of knots modulo a prime number $p$, within a sufficiently large degree range: $4/p^7$. As an application, we classify knot Jones polynomials modulo two of span up to eight. |
| title | On the Jones polynomial modulo primes |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2204.12259 |