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2 votes
0 answers
84 views

Infinity-morphisms for operadic algebras

Is there an already studied notion of $\infty$-morphism between algebras over a quasi-free operad $P = (T(E), \partial)$? If the operad $P$ is Koszul, or of the form $\Omega C$ for $C$ a cooperad, ...
groupoid's user avatar
  • 215
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....
thingsthatmighthavebeen's user avatar
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 ...
thingsthatmighthavebeen's user avatar