Polishchuk, AlexanderPlatt, David2013-10-032013-10-032013-10-03https://hdl.handle.net/1794/13244We 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.en-USAll Rights Reserved.Chern CharacterMatrix FactorizationsNoncommutative GeometryElectronic Thesis or Dissertation