Mapping Spaces of Swiss Cheese Operads
Abstract
Abstract We show that the color restriction map $\textrm{Op}^{h}({\mathcal{S}\mathcal{C}}_{m},{\mathcal{S}\mathcal{C}}_{n})\to \textrm{Op}^{h}({\mathcal E}_{m-1},{\mathcal E}_{n-1})$ from the derived mapping space of Swiss cheese operads to that of little discs operads is a weak homotopy equivalence. We explain how this can help in the study of disc concordance embedding spaces.
Fields of Study & Subjects
Advanced Topics in Algebra
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 7
- Publication date
- 18 March 2026
- Language
- EN