Mapping spaces between operads in relation to bimodules
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866918437049073664 |
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| author | Truong, Hoang |
| author_facet | Truong, Hoang |
| contents | This paper investigates mapping spaces between enriched operads and relates these spaces to those between operadic bimodules via convenient fiber sequences. The main statements hold for simplicial operads, operads enriched in simplicial modules over a commutative ring, and for connective dg operads, with the last case relying on an operadic version of the Dold-Kan correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07906 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mapping spaces between operads in relation to bimodules Truong, Hoang Algebraic Topology Category Theory 18G31, 18M60, 18M75, 18N40 This paper investigates mapping spaces between enriched operads and relates these spaces to those between operadic bimodules via convenient fiber sequences. The main statements hold for simplicial operads, operads enriched in simplicial modules over a commutative ring, and for connective dg operads, with the last case relying on an operadic version of the Dold-Kan correspondence. |
| title | Mapping spaces between operads in relation to bimodules |
| topic | Algebraic Topology Category Theory 18G31, 18M60, 18M75, 18N40 |
| url | https://arxiv.org/abs/2312.07906 |