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(Non-)formality of the extended Swiss Cheese operads

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arxiv 1706.02945 v2 pith:VGNIPVGL submitted 2017-06-09 math.QA math.AT

Thomas Willwacher This is my paper · ORCID
classification math.QAmath.AT
keywords diskslittleoperadscheeseextendedhomotopyrationalswiss
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abstract

We study two colored operads of configurations of little $n$-disks in a unit $n$-disk, with the centers of the small disks of one color restricted to an $m$-plane, $m<n$. We compute the rational homotopy type of these \emph{extended Swiss Cheese operads} and show how they are connected to the rational homotopy types of the inclusion maps from the little $m$-disks to the little $n$-disks operad.

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Cited by 1 Pith paper

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  1. Factorization Algebras and Quantum Groups from Generalized Poisson Sigma Models

    hep-th 2026-07 conditional novelty 7.5 of 10

    Generalized Poisson sigma models realize deformation quantizations of holomorphic-topological factorization algebras and produce quantum groups as Koszul duals of their boundary algebras.

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