Matrix factorizations and higher residue pairings

Matrix factorizations and higher residue pairings
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矩阵分解和更高的残基配对

DOI:
10.1016/j.aim.2016.01.014
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发表时间:
2013
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
D. Shklyarov
D. Shklyarov
中科院分区:
--
文献类型:
--
作者:
D. Shklyarov

文献摘要

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任何真dg范畴的周期循环同调都具有一个典范对。我们表明,在dg类矩阵分解的孤立奇点的典型配对的情况下,可以确定与齐藤京司的高残基配对扭曲的德拉姆上同调的奇异性。
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.