  It is known that one-loop Feynman integrals possess an algebraic structure
encoding some of their analytic properties called the coaction, which can be
written in terms of Feynman integrals and their cuts. This diagrammatic
coaction, and the coaction on other classes of integrals such as hypergeometric
functions, may be expressed using suitable bases of differential forms and
integration contours. This provides a useful framework for computing coactions
of Feynman integrals expressed using the hypergeometric functions. We will
discuss examples where this technique has been used in the calculation of
two-loop diagrammatic coactions.
