Non-formality of the odd dimensional framed little balls operads

Abstract

We prove that the chain operad of the framed little balls (or disks) operad is not formal as a non-symmetric operad over the rationals if the dimension of their balls is odd and greater than 4.

10 pages, presentation improved, errors collected, references added

References in corpus (3)

• Homotopy theory of non-symmetric operads
• Non-formality of the Swiss-Cheese operad
• Poisson structures on the homology of the space of knots

Cited by in corpus (3)

• The Lambrechts-Stanley Model of Configuration Spaces
• Sinha's spectral sequence for long knots in codimension one and non-formality of the little 2-disks operad
• A Kuenneth theorem for configuration spaces