An upper bound conjecture for the Yokota invariant

Belletti, Giulio

doi:10.2140/agt.2025.25.645

Belletti, Giulio ¹

¹Université Paris-Saclay, Orsay, France, IRMP, Université catholique de Louvain, Louvain-la-Neuve, Belgium

Algebraic and Geometric Topology, Tome 25 (2025) no. 2, pp. 645-675

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Résumé

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.

DOI : 10.2140/agt.2025.25.645

Keywords: quantum invariants, volume, polyhedra

Affiliations des auteurs :

Belletti, Giulio ¹

¹ Université Paris-Saclay, Orsay, France, IRMP, Université catholique de Louvain, Louvain-la-Neuve, Belgium

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     title = {An upper bound conjecture for the {Yokota} invariant},
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     year = {2025},
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Belletti, Giulio. An upper bound conjecture for the Yokota invariant. Algebraic and Geometric Topology, Tome 25 (2025) no. 2, pp. 645-675. doi: 10.2140/agt.2025.25.645

Bibliographie
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