(Non-)formality of the extended Swiss Cheese operads

Friday, 9 June, 2017

Published in: 

arXiv:1706.02945

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.

Author(s): 

Thomas Willwacher