An upper bound conjecture for the Yokota invariant
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916745397141504 |
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| author | Belletti, Giulio |
| author_facet | Belletti, Giulio |
| contents | We conjecture an upper bound on the growth of the Yokota invariant of polyhedral graphs, extending a previous result on the growth of the $6j$-symbol. Using Barrett's Fourier transform we are able to prove this conjecture in a large family of examples. As a consequence of this result, we prove the Turaev-Viro Volume Conjecture for a new infinite family of hyperbolic manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_01904 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An upper bound conjecture for the Yokota invariant Belletti, Giulio Geometric Topology 57M27 We conjecture an upper bound on the growth of the Yokota invariant of polyhedral graphs, extending a previous result on the growth of the $6j$-symbol. Using Barrett's Fourier transform we are able to prove this conjecture in a large family of examples. As a consequence of this result, we prove the Turaev-Viro Volume Conjecture for a new infinite family of hyperbolic manifolds. |
| title | An upper bound conjecture for the Yokota invariant |
| topic | Geometric Topology 57M27 |
| url | https://arxiv.org/abs/2002.01904 |