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arxiv: 1705.04573 · v1 · pith:P24DCKYH · submitted 2017-05-12 · math.KT · math.AT· math.CO· math.CT

Boardman--Vogt tensor products of absolutely free operads

Murray Bremner , Vladimir Dotsenko This is my paper

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classification math.KT math.ATmath.COmath.CT
keywords freetensorboardman--vogtoperadsabsolutelymathbbproductresults
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We establish a combinatorial model for the Boardman--Vogt tensor product of several absolutely free operads, that is free symmetric operads that are also free as $\mathbb{S}$-modules. Our results imply that such a tensor product is always a free $\mathbb{S}$-module, in contrast with the results of Kock and Bremner--Madariaga on hidden commutativity for the Boardman--Vogt tensor square of the operad of non-unital associative algebras.

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