Quantum Relatives of Alexander Polynomial

Oleg Viro

Quantum Relatives of Alexander Polynomial

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arxiv math/0204290 v1 pith:4LGZATGQ submitted 2002-04-24 math.GT math.QA

Oleg Viro This is my paper · ORCID

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keywords conwayfunctiongeneralizedadditionalalexandercoloringcorrespondingdone

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The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin-Turaev functors based on irreducible representations of quantized gl(1|1) and sl(2). The corresponding face state sum models for the generalized Conway function are presented.

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Construction of Lie algebra weight system kernel via Vogel algebra
math.QA 2024-11 conditional novelty 6.0 of 10

Using Vogel's Lambda algebra, the authors construct and explicitly list the first Jacobi diagrams in the kernel of the sl_n weight system, up to order 10 for primitive diagrams.

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