On a Hodge theoretic property of the Künneth map in periodic cyclic homology

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• 作者：Dmytro Shklyarov^a ; ^b ; ^{dmytro.shklyarov@mathematik.tu-chemnitz.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16E45 ; 16E40
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：446
• 期：Complete
• 页码：132-153
• 全文大小：405 K

文摘

We prove that the standard Künneth map in periodic cyclic homology of differential Z/2$\mathbb{Z}/2$-graded algebras is compatible with a generalization of the Hodge filtration and explain how this result is related to various Thom–Sebastiani type theorems in singularity theory.