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On Jaeger's HOMFLY-PT expansions, branching rules and link homology: a progress report

Published 6 Sep 2013 in math.QA, math.GT, and math.RT | (1309.1616v1)

Abstract: This note is a write-up of a talk given by the author at the Meeting of the Sociedade Portuguesa de Matematica in July 2012. We describe Jaeger's HOMFLY-PT expansion of the Kauffman polynomial and how to generalize it to other quantum invariants using the so-called "branching rules" for Lie algebra representations. We present a program which aims to construct Jaeger expansions for link homology theories.

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