Enveloping operads and applications
arXiv:2407.18190 · doi:10.1016/j.jpaa.2025.108119
Abstract
This work addresses the homotopical analysis of enveloping operads in a general cofibrantly generated symmetric monoidal model category. We show the potential of this analysis by obtaining, in a uniform way, several central results regarding the homotopy theory of operadic algebras.
Comments are welcome! v2: Accepted version up to formatting. Minor modifications from v1
References in corpus (9)
- Algebras and modules in monoidal model categories
- Homological perturbation theory for algebras over operads
- Admissibility and rectification of colored symmetric operads
- Homotopy theory of non-symmetric operads
- Homotopy theory of symmetric powers
- Relative left properness of colored operads
- Corrections to "Homotopy theory of nonsymmetric operads, I, II"
- On the unit of a monoidal model category
- Function spaces and classifying spaces of algebras over a prop