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Turaev–Viro invariant and 3nj symbols

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Publication:2737994
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DOI10.1063/1.533292zbMath0968.57009OpenAlexW2088500246MaRDI QIDQ2737994

Gaspare Carbone

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533292


zbMATH Keywords

Turaev-Viro state sums


Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70)




Cites Work

  • \(2+1\)-dimensional gravity as an exactly soluble system
  • State sum invariants of 3-manifolds and quantum \(6j\)-symbols
  • A calculus for framed links in \(S^3\)
  • 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
  • RATIONAL CONFORMAL FIELD THEORY AND MULTIWORMHOLE PARTITION FUNCTION IN THREE-DIMENSIONAL GRAVITY
  • ON ROBERTS’ PROOF OF THE TURAEV-WALKER THEOREM
  • Three-dimensional gravity from the Turaev-Viro invariant
  • Lens spaces and handlebodies in three-dimensional quantum gravity


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