Corpus ID: 67768345

Formality of a higher-codimensional Swiss-Cheese operad

  title={Formality of a higher-codimensional Swiss-Cheese operad},
  author={Najib Idrissi},
  journal={arXiv: Algebraic Topology},
  • Najib Idrissi
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Topology
  • We study configurations of points in the complement of a linear subspace inside a Euclidean space, $\mathbb{R}^{n} \setminus \mathbb{R}^{m}$ with $n - m \ge 2$. We define a higher-codimensional Swiss-Cheese operad $\mathsf{VSC}_{mn}$ associated to such configurations, a variant of the classical Swiss-Cheese operad. The operad $\mathsf{VSC}_{mn}$ is weakly equivalent to the operad of locally constant factorization algebras on the stratified space $\{\mathbb{R}^{m} \subset \mathbb{R}^{n}\}$. We… CONTINUE READING