Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants
type: Item
instance of: scholarly article
title: Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants
zbMATH Open document ID: 1470.57039
author: Tian Yang
published in: Acta Mathematica Vietnamica
publication date: 2021-07-30T00:00:00Z
Mathematics Subject Classification ID: 57K32
Mathematics Subject Classification ID: 57K16
Mathematics Subject Classification ID: 57-02
zbMATH DE Number: 7376852
zbMATH Keywords: survey
zbMATH Keywords: hyperbolic 3-manifold
zbMATH Keywords: quantum invariants
zbMATH Keywords: quantum representations
Wikidata QID: Q122979417
MaRDI profile type: Publication
full work available at URL: s40306-020-00402-1
OpenAlex ID: W3120889833
cites work: Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$
cites work: Three-manifold invariants derived from the Kauffman bracket
cites work: Topological quantum field theories derived from the Kauffman bracket
cites work: Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants
cites work: \(6j\)-symbols, hyperbolic structures and the volume conjecture
cites work: 3-manifolds efficiently bound 4-manifolds
cites work: Gromov norm and Turaev-Viro invariants of 3-manifolds
cites work: Quantum representations and monodromies of fibered links
cites work: Turaev-Viro invariants, colored Jones polynomials, and volume
cites work: The homological content of the Jones representations at \(q= -1\)
cites work: Asymptotics of the colored Jones function of a knot
cites work: Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
cites work: A combinatorial curvature flow for compact 3-manifolds with boundary
cites work: Volume and rigidity of hyperbolic polyhedral 3‐manifolds
cites work: Generalized Kashaev invariants for knots in three manifolds
cites work: The colored Jones polynomials and the simplicial volume of a knot
cites work: A link invariant from quantum dilogarithm
cites work: The hyperbolic volume of knots from the quantum dilogarithm
cites work: A calculus for framed links in \(S^3\)
cites work: On the asymptotic expansion of the Kashaev invariant of the \(5_2\) knot
cites work: On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings
cites work: On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings
cites work: On the asymptotic expansion of the quantum SU(2) invariant at \(q =exp(4{\pi}\sqrt{-1}/N\)) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot
cites work: Ribbon graphs and their invariants derived from quantum groups
cites work: Invariants of 3-manifolds via link polynomials and quantum groups
cites work: Skein theory and Turaev-Viro invariants
cites work: LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS
cites work: Quantum invariants of knots and 3-manifolds
cites work: State sum invariants of 3-manifolds and quantum \(6j\)-symbols
cites work: Proof of the volume conjecture for Whitehead chains
cites work: Quantum field theory and the Jones polynomial
cites work: Proof of the volume conjecture for Whitehead doubles of a family of torus knots
DOI: 10.1007/S40306-020-00402-1
description: scientific article; zbMATH DE number 7376852