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Swiss-Cheese operad and Drinfeld center

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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https://hal.archives-ouvertes.fr/hal-01438863
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Submitted on : Wednesday, January 18, 2017 - 11:04:18 AM
Last modification on : Tuesday, November 22, 2022 - 2:26:13 PM
Long-term archiving on: : Wednesday, April 19, 2017 - 1:30:57 PM

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Najib Idrissi. Swiss-Cheese operad and Drinfeld center. Israel Journal of Mathematics, 2017, 221 (2), ⟨10.1007/s11856-017-1579-7⟩. ⟨hal-01438863⟩

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