Geodesic
On a Hopf operad containing the Poisson operad
Chapoton, Frédéric1
1LACIM, Université du Québec à Montréal, CP 8888 Succursale centre ville, Montréal, Québec H3C 3P8, Canada
Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1257-1273
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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.

DOI : 10.2140/agt.2003.3.1257
Keywords: Hopf operad, coalgebra, chain complex

Chapoton, Frédéric  1

1 LACIM, Université du Québec à Montréal, CP 8888 Succursale centre ville, Montréal, Québec H3C 3P8, Canada 
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Chapoton, Frédéric. On a Hopf operad containing the Poisson operad. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1257-1273. doi: 10.2140/agt.2003.3.1257

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