A NOTE ON QUANTUM 3-MANIFOLD INVARIANTS AND HYPERBOLIC VOLUME

DOI10.1142/S0218216509006823zbMath1171.57013arXiv0710.0076OpenAlexW2963612545MaRDI QIDQ3608721

Efstratia Kalfagianni

Publication date: 5 March 2009

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

Full work available at URL: https://arxiv.org/abs/0710.0076

zbMATH Keywords

hyperbolic volumequantum invariantthree-manifoldWitten--Reshetikhin--Turaev invariant

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Fox's congruence classes and the quantum-\(SU(2)\) invariants of links in 3-manifolds
• Alexander polynomial, finite type invariants and volume of hyperbolic knots
• On knot adjacency
• Invariants of 3-manifolds via link polynomials and quantum groups
• TOPOLOGICAL IMITATION, MUTATION AND THE QUANTUM SU(2) INVARIANTS
• The colored Jones polynomials and the simplicial volume of a knot

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