Knots, perturbative series and quantum modularity
type: Item
instance of: scholarly article
title: Knots, perturbative series and quantum modularity
author: Stavros Garoufalidis
author: Don Zagier
published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
publication date: 2024-08-15T00:00:00Z
Mathematics Subject Classification ID: 57K30
Mathematics Subject Classification ID: 57K16
Mathematics Subject Classification ID: 57K14
Mathematics Subject Classification ID: 57K10
zbMATH DE Number: 7897506
zbMATH Keywords: quantum topology
zbMATH Keywords: knots
zbMATH Keywords: 3-manifolds
zbMATH Keywords: Jones polynomial
zbMATH Keywords: Kashaev invariant
zbMATH Keywords: volume conjecture
zbMATH Keywords: Chern-Simons theory
zbMATH Keywords: asymptotics
zbMATH Keywords: quantum modularity conjecture
zbMATH Keywords: quantum modular forms
zbMATH Keywords: hyperbolic 3-manifolds
zbMATH Keywords: dilogarithm
zbMATH Keywords: cocycles
zbMATH Keywords: \(\mathrm{SL}_2(\mathbb{Z})\)
zbMATH Keywords: denominators
zbMATH Keywords: Habiro-like functions
zbMATH Keywords: functions near \(\mathbb{Q}\)
zbMATH Keywords: Neumann-Zagier matrices
zbMATH Keywords: Nahm sums
zbMATH Keywords: \(q\)-holonomic modules
MaRDI profile type: Publication
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Knots, perturbative series and quantum modularity (DOI)
DOI: 10.3842/SIGMA.2024.055