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4 votes
1 answer
423 views

Formality of the little $n$-disks operad and deformation theory

In [Another proof of M. Kontsevich formality theorem], Tamarkin provides a proof of the formality of the differential graded Lie algebra controlling the deformation of a polynomial associative algebra....
3 votes
1 answer
365 views

Brace algebra structure on the Hochschild complex of an associative algebra

As shown by Gerstenhaber and Voronov [Higher operations on the Hochschild complex], the Hochschild complex of an associative algebra is endowed with a natural structure of brace algebra. The first ...