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arXiv · 1907.11441

Atiyah class and Chern character for global matrix factorizations

Bumsig Kim·Alexander Polishchuk
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Abstract

We define the Atiyah class for global matrix factorizations and use it to give a formula for the categorical Chern character and the boundary-bulk map for matrix factorizations, generalizing the formula in the local case obtained in arXiv:1002.2116. Our approach is based on developing the Lie algebra analogies observed by Kapranov alg-geom/9704009 and Markarian math/0610553.

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Bumsig Kim, Alexander Polishchuk. 2019-07-26. Atiyah class and Chern character for global matrix factorizations. https://arxiv.org/abs/1907.11441

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