Homotopy Prefactorization Algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914849470021632 |
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| author | Idrissi, Najib Rabinovich, Eugene |
| author_facet | Idrissi, Najib Rabinovich, Eugene |
| contents | We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras on a fixed space M. his allows us to describe a notion of prefactorization algebra up to homotopy as well as morphisms up to homotopy between such objects. We make explicit these notions for several special M, such as certain finite topological spaces, or the real line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_13011 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homotopy Prefactorization Algebras Idrissi, Najib Rabinovich, Eugene Algebraic Topology Quantum Algebra We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras on a fixed space M. his allows us to describe a notion of prefactorization algebra up to homotopy as well as morphisms up to homotopy between such objects. We make explicit these notions for several special M, such as certain finite topological spaces, or the real line. |
| title | Homotopy Prefactorization Algebras |
| topic | Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/2304.13011 |