Algebraic & Geometric Topology 3 (2003) 1257–1273

DOI: 10.2140/agt.2003.3.1257

arXiv: math.QA/0212021

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

Mathematical Subject Classification

Primary: 18D50

Secondary: 16W30

References

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Publication

Received: 20 January 2003
Revised: 12 December 2003
Accepted: 18 December 2003
Published: 20 December 2003

Authors