Feigin-Tsygan定理的高阶Hodge推广
A higher Hodge extension of the Feigin-Tsygan Theorem
摘要：
我们证明了当在一定的Hodge滤子下完成时，推广的非交换de Rham复形与周期循环复形是（约化）准同构的，而它的每个滤子片与负循环复形是准同构的.这扩展了Feigin和Tsygan的经典结果，它对应于我们的拟同构的Hodge度$0$部分。这个结果被应用于\cite{Yeu1, Yeu2}中的Calabi-Yau范畴的研究。
英文摘要：
We show that the extended noncommutative de Rham complex of a cofibrant resolution, when completed at a certain Hodge filtration, is (reduced) quasi-isomorphic to the periodic cyclic complex, while each of its filtration piece is quasi-isomorphic to the negative cyclic complex. This extends a classical result of Feigin and Tsygan, which corresponds to the Hodge degree $0$ part of our quasi-isomorphism. This result is applied to the study of Calabi-Yau categories in \cite{Yeu1, Yeu2}.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
