Geodesic
The Tamarkin–Tsygan calculus of an associative algebra à la Stasheff
Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 257-282.

Voir la notice de l'article provenant de la source International Press of Boston

We show how to compute the Tamarkin–Tsygan calculus of an associative algebra by providing, for a given cofibrant replacement of it, a ‘small’ $\mathsf{Calc}_\infty$-model of its calculus, which we make somewhat explicit at the level of $\mathsf{Calc}$-algebras. To do this, we prove that the operad $\mathsf{Calc}$ is inhomogeneous Koszul; to our best knowledge, this result is new. We illustrate our technique by carrying out some computations for two monomial associative algebras using the cofibrant replacement obtained by the author in [39].
DOI : 10.4310/HHA.2021.v23.n2.a14
Classification : 16E05, 16E40, 16E45, 18G15, 18G55
Keywords: monomial algebras, minimal models, $A_\infty$-algebras, rewriting theory, higher structures 
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Pedro Tamaroff. The Tamarkin–Tsygan calculus of an associative algebra à la Stasheff. Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 257-282. doi : 10.4310/HHA.2021.v23.n2.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n2.a14/

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