Boardman--Vogt tensor products of absolutely free operads
K-Theory and Homology
2025-08-01 v1 Algebraic Topology
Combinatorics
Category Theory
Abstract
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 -modules. Our results imply that such a tensor product is always a free -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.
Keywords
Cite
@article{arxiv.1705.04573,
title = {Boardman--Vogt tensor products of absolutely free operads},
author = {Murray Bremner and Vladimir Dotsenko},
journal= {arXiv preprint arXiv:1705.04573},
year = {2025}
}
Comments
15 pages, comments are welcome