On the relation between two quantum group invariants of 3-cobordisms

DOI10.1016/S0393-0440(95)00062-3zbMath0870.57031arXivq-alg/9502010OpenAlexW2054141053MaRDI QIDQ2565047

Anna Beliakova, Bergfinnur Durhuus

Publication date: 7 January 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9502010

zbMATH Keywords

quantum groupsReshetikhin-Turaev invariantsTuraev-Viro invariantsthree-dimensional cobordism

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Cobordism in PL-topology (57Q20)

Related Items (2)

On the unknotting number of minimal diagrams ⋮ SPIN TOPOLOGICAL QUANTUM FIELD THEORIES

Cites Work

• Topological quantum field theories
• Fusion rules and modular transformations in 2D conformal field theory
• A combinatorial approach to topological quantum field theories and invariants of graphs
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Quantum invariants of links and 3-valent graphs in 3-manifolds
• Topological quantum field theory and invariants of graphs for quantum groups
• Skein theory and Turaev-Viro invariants
• Invariants of 3-manifolds via link polynomials and quantum groups
• TOPOLOGICAL QUANTUM FIELD THEORIES FROM GENERALIZED 6J-SYMBOLS
• Classification and construction of unitary topological field theories in two dimensions
• Invariants of Three-Manifolds, Unitary Representations of the Mapping Class Group, and Numerical Calculations
• Quantum invariants of knots and 3-manifolds

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