  We build a model in groupoids for the Swiss-Cheese operad, based on
parenthesized permutations and braids, and we relate algebras over this model
to the classical description of algebras over the homology of the Swiss-Cheese
operad. We extend our model to a rational model for the Swiss-Cheese operad,
and we compare it to the model that we would get if the operad Swiss-Cheese
were formal.
