Swiss-Cheese operad and Drinfeld center

Abstract

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.

27 pages. v5: Minor corrections. To appear in Israel J. Math

References in corpus (3)

• Non-formality of the Swiss-Cheese operad
• OCHA and the swiss-cheese operad
• The cotriple resolution of differential graded algebras

Cited by in corpus (4)

• On dualizability of braided tensor categories
• The Hochschild Complex of a Finite Tensor Category
• Relative Recognition Principle
• Non-formality of Voronov's Swiss-Cheese operads