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arXiv · 1604.05365

Calabi-Yau structures on categories of matrix factorizations

Dmytro Shklyarov
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Abstract

We write out explicit proper Calabi-Yau structures, i. e. non-degenerate cyclic cocycles on the differential graded categories of matrix factorizations of regular functions with isolated critical points. The formulas involve the Kapustin-Li trace and its "higher corrections".

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Dmytro Shklyarov. 2016-04-18. Calabi-Yau structures on categories of matrix factorizations. https://doi.org/10.1016/j.geomphys.2017.05.006

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