A Computation of Tamarkin-Tsygan Calculus
Rings and Algebras
2026-02-19 v3 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.2509.12984,
title = {A Computation of Tamarkin-Tsygan Calculus},
author = {Jun Chen and Xiabing Ruan and Jia Yang},
journal= {arXiv preprint arXiv:2509.12984},
year = {2026}
}