Enveloping Operads and Bicolored Noncrossing Configurations

Frédéric Chapoton, Samuele Giraudo
2014 Experimental Mathematics  
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.
doi:10.1080/10586458.2014.910850 fatcat:67wfsidhqrdtpj2rcw4qzw4ezi