Chern Character for Global Matrix Factorizations

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Department of Mathematics

Grantor dc:publisher

University of Oregon

Year dc:date.issued

2013

Author dc:creator

• Platt, David

Advisor dc:contributor.advisor

• Polishchuk, Alexander

• Chern Character
• Matrix Factorizations
• Noncommutative Geometry

Statement dc:rights

• All Rights Reserved.

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/1794/13244

OAI record oai:identifier

https://scholarsbank.uoregon.edu/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Ascholarsbank.uoregon.edu%3A1794%2F13244