Enveloping operads and bicoloured noncrossing configurations

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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Source ISSN: 1058-6458
Author Chapoton, Frédéric, Samuele, Giraudo
Maintainer CCSD
Last Updated May 9, 2026, 08:25 (UTC)
Created May 9, 2026, 08:25 (UTC)
Identifier hal-00874014
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut Camille Jordan (ICJ) ; École Centrale de Lyon (ECL) ; Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) ; Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) ; Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM) ; Université Jean Monnet (EPSCPE) (UJM EPE)-Université Jean Monnet (EPSCPE) (UJM EPE)-Centre National de la Recherche Scientifique (CNRS)
creator Chapoton, Frédéric
date 2014-05-09T00:00:00
harvest_object_id 8542bde2-b804-4be5-9917-5c8bb12a3a74
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-23T00:00:00
set_spec type:ART