Algebraic & Geometric Topology

On a Hopf operad containing the Poisson operad

Frédéric Chapoton

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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

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

Received: 20 January 2003
Revised: 12 December 2003
Accepted: 18 December 2003
First available in Project Euclid: 21 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 18D50: Operads [See also 55P48]
Secondary: 16W30

Hopf operad coalgebra chain complex


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.

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