We will discuss a means by which the colored
Jones polynomial can be lifted from a numerical invariant
of framed links to an invariant valued in a certain homotopy
category.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/249