From 3-dimensional skein theory to functions near Q
Geometric Topology
2023-08-11 v2 High Energy Physics - Theory
Number Theory
Abstract
Motivated by the Quantum Modularity Conjecture and its arithmetic aspects related to the Habiro ring of a number field, we define a map from the Kauffman bracket skein module of an integer homology 3-sphere to the Habiro ring, and use Witten's conjecture (now a theorem) to show that the image is an effectively computable module of finite rank that can be used to phrase the quantum modularity conjecture.
Cite
@article{arxiv.2307.09135,
title = {From 3-dimensional skein theory to functions near Q},
author = {Stavros Garoufalidis and Thang T. T. Q. Le},
journal= {arXiv preprint arXiv:2307.09135},
year = {2023}
}
Comments
15 pages, 4 figures. Updated 2 references