Chern Character for Global Matrix Factorizations
| dc.contributor.advisor | Polishchuk, Alexander | en_US |
| dc.contributor.author | Platt, David | en_US |
| dc.date.accessioned | 2013-10-03T23:32:01Z | |
| dc.date.available | 2013-10-03T23:32:01Z | |
| dc.date.issued | 2013-10-03 | |
| dc.description.abstract | We give a formula for the Chern character on the DG category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in \Gamma(\O_X)$. 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_US |
| dc.identifier.uri | https://hdl.handle.net/1794/13244 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | University of Oregon | en_US |
| dc.rights | All Rights Reserved. | en_US |
| dc.subject | Chern Character | en_US |
| dc.subject | Matrix Factorizations | en_US |
| dc.subject | Noncommutative Geometry | en_US |
| dc.title | Chern Character for Global Matrix Factorizations | en_US |
| dc.type | Electronic Thesis or Dissertation | en_US |
| thesis.degree.discipline | Department of Mathematics | en_US |
| thesis.degree.grantor | University of Oregon | en_US |
| thesis.degree.level | doctoral | en_US |
| thesis.degree.name | Ph.D. | en_US |
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