  We explain how to calculate link homology for a Lie algebra $\mathfrak{g}$
using the Fukaya category associated to a 2d A-model. Links are represented as
configurations of particular A-branes and link homology is given by Homs
between these A-branes. In the case of $\mathfrak{g}=\mathfrak{su}_2$, we
explain how to explicitly construct projective resolutions of the relevant
A-branes in terms of thimbles, whose algebra is known. This gives an explicit
algorithm for computing Khovanov homology. This algorithm can be extended to
all Lie algebras.
