2015/07/31 by Najib Idrissi
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Biology #Braid #Center (category theory) #Geography #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #math.AT #msc:18B40 #msc:18D10 #msc:18D50
paper · pdf · doi:10.1007/s11856-017-1579-7
published as Isr. J. Math. (2017) 221: 941 · 27 pages. v5: Minor corrections. To appear in Israel J. Math
arxiv created 2017/01/10 · openalex publication_date 2017/09/01 · arxiv updated 2017/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.