Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.

Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.

Geometric study of the category of matrix factorizations

Xuan Yu, University of Nebraska - Lincoln


We study the geometry of matrix factorizations in this dissertation. It contains two parts. The first one is a Chern-Weil style construction for the Chern character of matrix factorizations; this allows us to reproduce the Chern character in an explicit, understandable way. Some basic properties of the Chern character are also proved (via this construction) such as functoriality and that it determines a ring homomorphism from the Grothendieck group of matrix factorizations to its Hochschild homology. The second part is a reconstruction theorem of hypersurface singularities. This is given by applying a slightly modified version of Balmer's tensor triangular geometry to the homotopy category of matrix factorizations.

Subject Area

Applied Mathematics|Mathematics

Recommended Citation

Yu, Xuan, "Geometric study of the category of matrix factorizations" (2013). ETD collection for University of Nebraska - Lincoln. AAI3588427.