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Autori principali: Chen, Jun, Ruan, Xiabing, Yang, Jia
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2509.12984
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author Chen, Jun
Ruan, Xiabing
Yang, Jia
author_facet Chen, Jun
Ruan, Xiabing
Yang, Jia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_12984
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Computation of Tamarkin-Tsygan Calculus
Chen, Jun
Ruan, Xiabing
Yang, Jia
Rings and Algebras
K-Theory and Homology
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.
title A Computation of Tamarkin-Tsygan Calculus
topic Rings and Algebras
K-Theory and Homology
url https://arxiv.org/abs/2509.12984