A SKEIN THEORETIC PROOF OF THE $U_q(\mathfrak{g}_2)$ 3-MANIFOLD INVARIANT

DOI10.1142/S0218216511008784zbMath1221.57025MaRDI QIDQ5392877

Timothy J. O'Brien

Publication date: 15 April 2011

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

zbMATH Keywords

quantum groupslinksthree-manifold invariantsskeins

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

• On Kirby's calculus of links
• A representation of orientable combinatorial 3-manifolds
• Quantum field theory and the Jones polynomial
• Tensor products of quantized tilting modules
• Ribbon graphs and their invariants derived from quantum groups
• Invariants of 3-manifolds via link polynomials and quantum groups
• Confluence theory for graphs
• QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• THE QUANTUM G₂ LINK INVARIANT
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)

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