Boardman--Vogt tensor products of absolutely free operads
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866918108206202880 |
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| author | Bremner, Murray Dotsenko, Vladimir |
| author_facet | Bremner, Murray Dotsenko, Vladimir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_04573 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Boardman--Vogt tensor products of absolutely free operads Bremner, Murray Dotsenko, Vladimir K-Theory and Homology Algebraic Topology Combinatorics Category Theory 18D50 (Primary), 05A15, 05E15, 18D05, 18G10, 52C22 (Secondary) 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. |
| title | Boardman--Vogt tensor products of absolutely free operads |
| topic | K-Theory and Homology Algebraic Topology Combinatorics Category Theory 18D50 (Primary), 05A15, 05E15, 18D05, 18G10, 52C22 (Secondary) |
| url | https://arxiv.org/abs/1705.04573 |