A Computation of the Tamarkin–Tsygan Calculus
We compute the full Tamarkin-Tsygan calculus of a Koszul algebra whose global dimension exceeds the number of generators. Our results show that even for algebras possessing an economic presentation and agreeable homological properties, the Hochschild (co)homology, as well as the structure of the Tamarkin--Tsygan calculus may exhibit a rather intricate behavior.
With Jun Chen and Jia Yang
Accepted by Homology, Homotopy and Applications.
arXiv:2509.12984