Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 3, Number 2 (2003), 1257-1273.
On a Hopf operad containing the Poisson operad
A new Hopf operad is introduced, which contains both the well-known Poisson operad and the Bessel operad introduced previously by the author. Besides, a structure of cooperad 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 hyperplane arrangement. A map from the operad to the dual operad of is defined which we conjecture to be a isomorphism.
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
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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