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• CommentRowNumber1.
• CommentAuthorKevin Lin
• CommentTimeJul 22nd 2010

Added stub for Kontsevich formality.

Also added some comments to the HKR page.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJul 22nd 2010

Thanks!! I added some links to Kontsevich formality.

• CommentRowNumber3.
• CommentAuthorzskoda
• CommentTimeMar 8th 2013

I have opened a new stub formality and removed the (improper) redirect formality at the more specialized entry Kontsevich formality. More references at Kontsevich formality.

• CommentRowNumber4.
• CommentAuthorzskoda
• CommentTimeMar 8th 2013

More material both at formality and at Kontsevich formality.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeAug 22nd 2013

at Kontsevich formality it used to say that “therefore every Poisson manifold has a canonical formal deformation quantization”.

This is not really true, the quantization is canonical only up to an action of the Grothendieck-Teichmüller group.

I have now added a super-brief remark on this, and then added a super-brief remark on formality of the $E_n$-operad in char 0 for all $n$, which makes an analogous statement for the deformation quantization of higher dimensional quantum field theories.

I don’t have time right now to do this justice at all. What is in the entry now is really just a reminder note for myself to come back to later. Of course if it inspires anyone to add more discussion, I won’t complain.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeAug 22nd 2013

Also a corresponding lightning-brief remark at Poisson n-algebra – Relation to En algebra

• CommentRowNumber7.
• CommentAuthorjim_stasheff
• CommentTimeAug 23rd 2013
It would be better if this were named
Kontsevich formality theorem

the notion of formality is not modified by maxim