A Note on $$\mathfrak {gl}_{m|n}$$ Link Invariants and the HOMFLY–PT Polynomial

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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 quantum gm|n invariants) as link invariants with values in the quantized oriented Brauer category.

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Queffelec, H., & Sartori, A. (2019). A Note on $$\mathfrak {gl}_{m|n}$$ Link Invariants and the HOMFLY–PT Polynomial. In Springer Proceedings in Mathematics and Statistics (Vol. 284, pp. 277–286). Springer New York LLC. https://doi.org/10.1007/978-3-030-16031-9_13

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