I will explain recent developments about the formality or non-formality of the Swiss-Cheese operad and its potential uses. In particular, I will present joint work with R. V. Vieira about the non-formality of Voronov’s version of the Swiss-Cheese operad, as well as our current work in progress about a conjectural reinterpretation in terms of symmetric Massey products.
References
- N. Idrissi: Formality of a higher-codimensional Swiss-Cheese operad.
- N. Idrissi, R. V. Vieira: Non-formality of Voronov’s Swiss-Cheese operads.
- M. Livernet: Non-formality of the Swiss-Cheese operad.
- T. Willwacher: Models for the n-Swiss Cheese operads.
- T. Willwacher: (Non-)formality of the extended Swiss Cheese operads.