From 3-dimensional skein theory to functions near Q

Autor:	Garoufalidis, Stavros, Le, Thang T. T. Q.
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology High Energy Physics - Theory Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages, 4 figures. Updated 2 references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.09135 Zobrazit plný text záznamu View this record from Arxiv