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A note on the gl(m|n) link invariants and the HOMFLY-PT polynomial

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arxiv 1506.03329 v1 pith:7QWLMSXX submitted 2015-06-10 math.QA math.RT

Hoel Queffelec , Antonio Sartori This is my paper · ORCID
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keywords invariantslinkpolynomialhomfly-ptalexanderbrauercategorygenerally
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We present a short and unified representation-theoretical treatment of type A link invariants (that is, the HOMFLY-PT polynomials, the Jones polynomial, the Alexander polynomial and, more generally, the gl(m|n) quantum invariants) as link invariants with values in the quantized oriented Brauer category.

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  1. 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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