Chern Character for Global Matrix Factorizations

2012/09/25 by David J. Platt, Platt, David · 4 citations
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1209.5686

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∈ Γ(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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