Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants (Q2043345)

scientific article; zbMATH DE number 7376852

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English	Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants	scientific article; zbMATH DE number 7376852

Statements

instance of

scholarly article

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title

Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants (English)

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author

Tian Yang

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published in

Acta Mathematica Vietnamica

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publication date

30 July 2021

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zbMATH Keywords

survey

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hyperbolic 3-manifold

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quantum invariants

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quantum representations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40306-020-00402-1

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cites work

Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$

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Three-manifold invariants derived from the Kauffman bracket

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Topological quantum field theories derived from the Kauffman bracket

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Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants

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$6j$-symbols, hyperbolic structures and the volume conjecture

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3-manifolds efficiently bound 4-manifolds

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Gromov norm and Turaev-Viro invariants of 3-manifolds

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Quantum representations and monodromies of fibered links

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Turaev-Viro invariants, colored Jones polynomials, and volume

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The homological content of the Jones representations at $q= -1$

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Asymptotics of the colored Jones function of a knot

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Three-dimensional quantum gravity, Chern-Simons theory, and the $A$-polynomial

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A combinatorial curvature flow for compact 3-manifolds with boundary

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Volume and rigidity of hyperbolic polyhedral 3‐manifolds

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Generalized Kashaev invariants for knots in three manifolds

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The colored Jones polynomials and the simplicial volume of a knot

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A link invariant from quantum dilogarithm

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The hyperbolic volume of knots from the quantum dilogarithm

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A calculus for framed links in $S^3$

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On the asymptotic expansion of the Kashaev invariant of the $5_2$ knot

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On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings

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On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings

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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

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Ribbon graphs and their invariants derived from quantum groups

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Invariants of 3-manifolds via link polynomials and quantum groups

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Skein theory and Turaev-Viro invariants

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LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS

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Quantum invariants of knots and 3-manifolds

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State sum invariants of 3-manifolds and quantum $6j$-symbols

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Proof of the volume conjecture for Whitehead chains

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Quantum field theory and the Jones polynomial

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Proof of the volume conjecture for Whitehead doubles of a family of torus knots

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Identifiers

zbMATH Open document ID

1470.57039

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Mathematics Subject Classification ID

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10.1007/S40306-020-00402-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2043345