Résumé |
We will discuss a physical approach to a categorification of Chern-Simons invariants of knots associated to a generic Lie algebra g, based on a category of supersymmetric interfaces in finite dimensional Landau-Ginzburg (LG) models. A mathematical counterpart of this categorification is known as a Fukaya-Seidel category of A-branes in LG models. If time permits we will consider different M-theory compactification origins of this approach, mirror dual counterpart and a generalization to various 3d manifolds. |