From 3-dimensional skein theory to functions near Q

Stavros Garoufalidis; Thang T.T.Q. Le

From 3-dimensional skein theory to functions near Q

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2307.09135 v2 pith:7ENLQB24 submitted 2023-07-18 math.GT hep-thmath.NT

Stavros Garoufalidis , Thang T.T.Q. Le This is my paper · ORCID

classification math.GThep-thmath.NT

keywords conjecturehabiromodularitymodulequantumringskeinarithmetic

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The Habiro ring of a number field
math.NT 2024-12 conditional novelty 8.0 of 10

A Habiro ring of a number field is constructed, with K3-graded modules, and perturbative quantum invariants are shown to be elements of these modules.

Pith tools