(Non-)formality of the extended Swiss Cheese operads

Thomas Willwacher

(Non-)formality of the extended Swiss Cheese operads

Quantum Algebra 2020-02-28 v2 Algebraic Topology

Authors: Thomas Willwacher

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.

Keywords

Swiss Cheese operad little disks operad rational homotopy type colored operad formality

Cite

@article{arxiv.1706.02945,
  title  = {(Non-)formality of the extended Swiss Cheese operads},
  author = {Thomas Willwacher},
  journal= {arXiv preprint arXiv:1706.02945},
  year   = {2020}
}

Comments

For v2 a mistake in the appendix was repaired, the appendix revised and integrated as a section into the main part of the paper

(Non-)formality of the extended Swiss Cheese operads

Abstract

Keywords

Cite

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