Calabi-Yau structures on categories of matrix factorizations
Algebraic Geometry
2017-06-28 v1
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".
Keywords
Cite
@article{arxiv.1604.05365,
title = {Calabi-Yau structures on categories of matrix factorizations},
author = {Dmytro Shklyarov},
journal= {arXiv preprint arXiv:1604.05365},
year = {2017}
}