English

Swiss-Cheese operad and Drinfeld center

Algebraic Topology 2017-09-25 v5

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.

Keywords

Cite

@article{arxiv.1507.06844,
  title  = {Swiss-Cheese operad and Drinfeld center},
  author = {Najib Idrissi},
  journal= {arXiv preprint arXiv:1507.06844},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T10:17:51.677Z