An upper bound conjecture for the Yokota invariant
Geometric Topology
2025-05-21 v2
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 -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.
Cite
@article{arxiv.2002.01904,
title = {An upper bound conjecture for the Yokota invariant},
author = {Giulio Belletti},
journal= {arXiv preprint arXiv:2002.01904},
year = {2025}
}
Comments
39 pages, 26 figures. Updated with new title and a stronger focus on the upper bound conjecture; accepted for publication at Algebraic and Geometric Topology