  We compute $e^{-AN}$ corrections to the Gross-Taylor 1/N expansion of the
paritition function of two-dimensional SU(N) and U(N) Yang Mills theory. We
find a very similar structure of mixing between holomorphic and
anti-holomorphic sectors as that described by Vafa for the 1/N expansion. Some
of the non-perturbative terms are suggestive of D-strings wrapping the $T^2$ of
the 2dYM but blowing up into a fuzzy geometry by the Myers effect in the
directions transverse to the $T^2$.
