#### Volume 3, issue 2 (2003)

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### Frédéric Chapoton

Algebraic & Geometric Topology 3 (2003) 1257–1273
 arXiv: math.QA/0212021
##### Abstract

A new Hopf operad $Ram$ is introduced, which contains both the well-known Poisson operad and the Bessel operad introduced previously by the author. Besides, a structure of cooperad $R$ is introduced on a collection of algebras given by generators and relations which have some similarity with the Arnold relations for the cohomology of the type $A$ hyperplane arrangement. A map from the operad $Ram$ to the dual operad of $R$ is defined which we conjecture to be a isomorphism.

Primary: 18D50
Secondary: 16W30
##### Publication
Revised: 12 December 2003
Accepted: 18 December 2003
Published: 20 December 2003
##### Authors
 Frédéric Chapoton LACIM Université du Québec à Montréal CP 8888 Succursale centre ville Montréal Québec H3C 3P8 Canada