  We show that the vortex moduli space in non-abelian supersymmetric N=(2,2)
gauge theories on the two dimensional plane with adjoint and anti-fundamental
matter can be described as an holomorphic submanifold of the instanton moduli
space in four dimensions. The vortex partition functions for these theories are
computed via equivariant localization. We show that these coincide with the
field theory limit of the topological vertex on the strip with boundary
conditions corresponding to column diagrams. Moreover, we resum the field
theory limit of the vertex partition functions in terms of generalized
hypergeometric functions formulating their AGT dual description as interacting
surface operators of simple type. Analogously we resum the topological open
string amplitudes in terms of q-deformed generalized hypergeometric functions
proving that they satisfy appropriate finite difference equations.
