Algebraic and Geometric Topology 3 (2003), paper no. 44, pages 1257-1273.

On a Hopf operad containing the Poisson operad

Frederic 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.

Keywords. Hopf operad, coalgebra, chain complex

AMS subject classification. Primary: 18D50. Secondary: 16W30.

DOI: 10.2140/agt.2003.3.1257

E-print: arXiv:math.QA/0212021

Submitted: 20 January 2003. (Revised: 12 December 2003.) Accepted: 18 December 2003. Published: 20 December 2003.

Notes on file formats

Frederic Chapoton
LACIM, Universite du Quebec a Montreal
CP 8888 succ. centre ville, Montreal Quebec H3C 3P8, Canada
Email: chapoton@math.uqam.ca

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