Enveloping operads and bicoloured noncrossing configurations
arXiv:1310.4521 · doi:10.1080/10586458.2014.910850
Abstract
An operad structure on certain bicoloured noncrossing configurations in regular polygons is studied. Motivated by this study, a general functorial construction of enveloping operad, with input a coloured operad and output an operad, is presented. The operad of noncrossing configurations is shown to be the enveloping operad of a coloured operad of bubbles. Several suboperads are also investigated, and described by generators and relations.
27 pages