## Algebraic & Geometric Topology

Frédéric Chapoton

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 3, Number 2 (2003), 1257-1273.

Dates
Revised: 12 December 2003
Accepted: 18 December 2003
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882435

Digital Object Identifier
doi:10.2140/agt.2003.3.1257

Mathematical Reviews number (MathSciNet)
MR2026333

Zentralblatt MATH identifier
1059.18005

Subjects
Secondary: 16W30

#### Citation

Chapoton, Frédéric. On a Hopf operad containing the Poisson operad. Algebr. Geom. Topol. 3 (2003), no. 2, 1257--1273. doi:10.2140/agt.2003.3.1257. https://projecteuclid.org/euclid.agt/1513882435

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