Knot Categorification from Mirror Symmetry, Part II: Lagrangians

In this paper, i develop two solutions to the problem of categorifying quantum linkinvariants, which work uniformly for all gauge groups and originate in geometry and string theory.

The firstand the second approaches are related by equivariant homological mirrorsymmetry : is homological mirror to a core locus of preserved by an equivariant action related to explicitlysolve the theory corresponding to with links colored by its fundamental representation.