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. This note is a write-up of a talk given by the author at the Meeting of the Sociedade Portuguesa de Matemática in July 2012.
Dos Santos Santana Forte Vaz, P. (2012). On Jaeger’s HOMFLY-PT expansions, branching rules and link homology: a progress report. Boletim da Sociedade Portuguesa de Matemática, especial, p. 91-94. https://hdl.handle.net/2078.5/204578 (Original work published 2012)