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.

arXiv comment10 pages, 4 figures. The section containing Massey operadic product has been modified. Accepted version for publication by the Journal of Topology

References in corpus (5)

• Deformation quantization of Poisson manifolds, I
• Operads and Motives in Deformation Quantization
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• Formality theorem for Hochschild cochains via transfer
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• Swiss-Cheese operad and Drinfeld center
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• On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
• Relative Recognition Principle
• Formality of a higher-codimensional Swiss-Cheese operad
• Models for the n-Swiss Cheese operads
• Non-formality of Voronov's Swiss-Cheese operads
• Sinha's spectral sequence for long knots in codimension one and non-formality of the little 2-disks operad