Homotopy Prefactorization Algebras
- Authors
- N. I., Eugene Rabinovich.
- Publication
- In: Res. Math. Sci. 11.45 (2024).
- Online on
- Online on .
- Accepted on
- Accepted on .
- Updated on
- Updated on .
- Full text
- Full text.
- 10.1007/s40687-024-00456-9
- 10.1007/s40687-024-00456-9.
- arXiv:2304.13011
- arXiv:2304.13011.
- hal-04082483
- hal-04082483.
- MR4763063
- MR4763063.
- Zbl07875603
- Zbl07875603.
Abstract
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.