Abstract
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 operad Swiss-Cheese were formal.
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The author thanks Benoit Fresse for multiple helpful discussions about the content of this paper.
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Idrissi, N. Swiss-Cheese operad and Drinfeld center. Isr. J. Math. 221, 941–972 (2017). https://doi.org/10.1007/s11856-017-1579-7
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DOI: https://doi.org/10.1007/s11856-017-1579-7