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

preprint2015arXivOpen access

Abstract

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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