Chern Character for Global Matrix Factorizations

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Date

2013-10-03

Authors

Platt, David

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Publisher

University of Oregon

Abstract

We give a formula for the Chern character on the DG category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in \Gamma(\O_X)$. 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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Keywords

Chern Character, Matrix Factorizations, Noncommutative Geometry

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