Chern Character for Global Matrix Factorizations
arXiv:1209.5686
Abstract
We give a formula for the Chern character on the DG-category of global matrix factorizations on a smooth scheme with superpotential . 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 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.