A classical result of Turaev identifies the skein algebra of the annulus
with the algebra of symmetric functions in infinitely many variables.
Queffelec and Roze categorified this using annular webs and foams.
I will recall their construction and compute explicit symmetric functions and
their categorical analogues for some links. As an application, I will
describe spectral sequences computing categorical invariants of
generalized Hopf links. The talk is based on a joint work with Paul Wedrich.