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Cofree coalgebras over operads

Justin R. Smith
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Abstract

This paper explicitely constructs cofree coalgebras over operads in the category of DG-modules. Special cases are considered in which the general expression simplifies (such as the pointed, irreducible case). It is shown that the existence of an operad-action on a coalgebra implies a ``generalized coassociativity'' that facilitates the construction. Some areas of application are discussed.

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Justin R. Smith. 2003-02-11. Cofree coalgebras over operads. https://arxiv.org/abs/math/0107097

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