Algebraic and Geometric Topology 3 (2003),
paper no. 44, pages 1257-1273.
On a Hopf operad containing the Poisson operad
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.
Hopf operad, coalgebra, chain complex
AMS subject classification.
Submitted: 20 January 2003.
(Revised: 12 December 2003.)
Accepted: 18 December 2003.
Published: 20 December 2003.
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