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 . This 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 , such as certain finite topological spaces, or the real line.
Homotopy Prefactorization Algebras
- Author(s)
- Najib Idrissi, Eugene Rabinovich.
- Publication
- Res. Math. Sci. 11.45 (2024)
- Online on
- Updated on
- Accepted on
- Full text
- /research/homotopy-prefactorization.pdf
- DOI:10.1007/s40687-024-00456-9
- https://doi.org/10.1007/s40687-024-00456-9
- arXiv:2304.13011
- https://arxiv.org/abs/2304.13011
- hal-04082483
- https://hal.science/hal-04082483
- MR4763063
- https://mathscinet.ams.org/mathscinet/article?mr=4763063
- Zbl 07875603
- https://zbMath.org/?q=an:07875603