String-Math Seminar: Categorical invariants of annular links

Seminar | February 11 | 2-3 p.m. | 402 LeConte Hall

 Eugene Gorsky, UC Davis

 Department of Mathematics

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.