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arXiv · 1310.4521

Enveloping operads and bicoloured noncrossing configurations

Frédéric Chapoton·Samuele Giraudo
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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.

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BibTeXRIS

Frédéric Chapoton, Samuele Giraudo. 2014-10-13. Enveloping operads and bicoloured noncrossing configurations. https://doi.org/10.1080/10586458.2014.910850

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