Swiss-Cheese Operad and Drinfeld Center

Israel J. Math. 221.2, pp. 941–972
PDF arXiv:1507.06844 hal-01438863 DOI:10.1007/s11856-017-1579-7 MR3704940 Zbl06808424

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.