Growth of Turaev–Viro invariants and cabling

DOI10.1142/S021821651950041XzbMath1434.57002arXiv1805.01927MaRDI QIDQ5221443

Renaud Detcherry

Publication date: 25 March 2020

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01927

zbMATH Keywords

knot theoryvolume conjectureTuraev-Viro invariants

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10)

Related Items (3)

Growth of quantum \(6j\)-symbols and applications to the volume conjecture ⋮ Cosets of monodromies and quantum representations ⋮ Turaev–Viro invariants and cabling operations

Cites Work

• Unnamed Item
• The hyperbolic volume of knots from the quantum dilogarithm
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Turaev-Viro invariants, colored Jones polynomials, and volume
• Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants
• Skein theory and Turaev-Viro invariants
• Topological quantum field theories derived from the Kauffman bracket
• Invariants of 3-manifolds via link polynomials and quantum groups
• Gromov norm and Turaev-Viro invariants of 3-manifolds
• ON ROBERTS’ PROOF OF THE TURAEV-WALKER THEOREM
• The coloured Jones function and Alexander polynomial for torus knots
• The colored Jones polynomials and the simplicial volume of a knot

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