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Swiss-Cheese operad and Drinfeld center. (English) Zbl 1422.55021
Summary: We build a model in groupoids for the Swiss-Cheese operad, based on parenthesized permutations and braids. 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 Swiss-Cheese operad were formal.

MSC:
55P48 Loop space machines and operads in algebraic topology
18D50 Operads (MSC2010)
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