Matrix factorizations and higher residue pairings

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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：14A22 ; 14B05 ; 16E45 ; 16E40 ; 32S25
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：9 April 2016
• 年：2016
• 卷：292
• 期：Complete
• 页码：181-209
• 全文大小：522 K

文摘

The periodic cyclic homology of any proper dg category comes equipped with a canonical pairing. We show that in the case of the dg category of matrix factorizations of an isolated singularity the canonical pairing can be identified with Kyoji Saito's higher residue pairing on the twisted de Rham cohomology of the singularity.