Aaron Lauda
(Joint work with Hendryk Pfeiffer )

Lecture at Higher Categories and Their Applications

January 13, 2007

Frobenius algebras, quantum topology and higher categories

After recalling the well-known construction of 2d topological quantum field theories (TQFTs) from commutative Frobenius algebras, we show how this fits into a bigger picture involving open-closed TQFTs and the Fukuma-Hosano-Kawai state sum model. Some of these ideas can already be categorified to study higher dimensions. If time permits, we will also sketch how this machinery can be used in a construction of Khovanov homology, not just for links but also for tangles.

Click on this to see the transparencies of my talk: