An upper bound conjecture for the Yokota invariant

Giulio Belletti

doi:10.2140/agt.2025.25.645

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arXiv · 2002.01904

An upper bound conjecture for the Yokota invariant

Giulio Belletti

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Abstract

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.

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Giulio Belletti. 2020-02-05. An upper bound conjecture for the Yokota invariant. https://doi.org/10.2140/agt.2025.25.645

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