A Computation of Tamarkin-Tsygan Calculus
Published: Sep 16, 2025
Last Updated: Sep 16, 2025
Authors:Jun Chen, Xiabing Ruan, Jia Yang
Abstract
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.