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

2015/06/10 by Queffelec, Hoel, Sartori, Antonio
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1506.03329

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.

Related

• Polynomial link invariants and quantum algebras
• The Links-Gould Invariant
• Polynomial invariants of links satisfying cubic skein relations
• Multivariable link invariants arising from sl(2|1) and the Alexander polynomial
• Other quantum relatives of the Alexander polynomial through the Links-Gould invariants