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arxiv: 1506.03329 · v1 · pith:7QWLMSXXnew · submitted 2015-06-10 · 🧮 math.QA · math.RT

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

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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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