Swiss-Cheese operad and Drinfeld center

Najib Idrissi (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

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.

Domaines: Topologie algébrique [math.AT]

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