  Feynman integrals that have been evaluated in dimensional regularization can
be written in terms of generalized hypergeometric functions. It is well known
that properties of these functions are revealed in the framework of
intersection theory. We propose a new application of intersection theory to
construct a coaction on generalized hypergeometric functions. When applied to
dimensionally regularized Feynman integrals, this coaction reproduces the
coaction on multiple polylogarithms order by order in the parameter of
dimensional regularization.
