  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.
