Browsing by Author "Platt, David"

Now showing 1 - 1 of 1
  • Thumbnail Image
    ItemOpen Access
    Chern Character for Global Matrix Factorizations
    (University of Oregon, 2013-10-03) Platt, David; Polishchuk, Alexander
    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.