Non-formality of the Swiss-Cheese operad

Abstract

In this note, we prove that the Swiss-cheese operad is not formal. We also give a criteria in terms of Massey operadic product for the non-formality of a topological operad.

10 pages, 4 figures. The section containing Massey operadic product has been modified. Accepted version for publication by the Journal of Topology

Cited by in corpus (3)

• On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
• Sinha's spectral sequence for long knots in codimension one and non-formality of the little 2-disks operad
• Non-formality of Voronov's Swiss-Cheese operads