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arXiv · 1209.5686

Chern Character for Global Matrix Factorizations

David Platt
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Abstract

We give a formula for the Chern character on the DG-category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in Γ(\mathcal{O}_X)$. Our formula takes values in a Cech model for Hochschild homology. Our methods may also be adapted to get an explicit formula for the Chern character for perfect complexes of sheaves on $X$ taking values in right derived global sections of the De-Rham algebra. Along the way we prove that the DG version of the Chern character coincides with the classical one for perfect complexes.

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David Platt. 2012-09-25. Chern Character for Global Matrix Factorizations. https://arxiv.org/abs/1209.5686

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