Arborescent links and modular tails
Geometric Topology
2025-04-28 v1 Number Theory
Abstract
We prove an explicit formula for the tail of the colored Jones polynomial for a class of arborescent links in terms of a product of theta functions and/or false theta functions. We also provide numerical evidence towards a classification of the modularity of tails of the colored Jones polynomial for alternating knots.
Cite
@article{arxiv.2504.18060,
title = {Arborescent links and modular tails},
author = {Robert Osburn and Matthias Storzer},
journal= {arXiv preprint arXiv:2504.18060},
year = {2025}
}
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25 pages