On a Hopf operad containing the Poisson operad

Details On a Hopf operad containing the Poisson operad On a Hopf operad containing the Poisson operad

2002-12-02

arxiv.org/abs/math/0212021v3

Algebr. Geom. Topol. 3 (2003) 1257-1273

Mathematics

Quantum Algebra

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-44.abs.html

Scientific paper

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.

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