Dimer models and Hochschild cohomology
| dc.contributor.advisor | Ben-Zvi, David, 1974- | |
| dc.contributor.advisor | Schedler, Travis | |
| dc.contributor.committeeMember | Neitzke, Andrew | |
| dc.contributor.committeeMember | Perutz, Timothy | |
| dc.creator | Wong, Michael Andrew | |
| dc.date.accessioned | 2018-09-18T15:34:12Z | |
| dc.date.available | 2018-09-18T15:34:12Z | |
| dc.date.created | 2018-08 | |
| dc.date.issued | 2018-08-15 | |
| dc.date.submitted | August 2018 | |
| dc.date.updated | 2018-09-18T15:34:12Z | |
| dc.description.abstract | Dimer models have appeared in the context of noncommutative crepant resolutions and homological mirror symmetry for punctured Riemann surfaces. For a zigzag consistent dimer embedded in a torus, we explicitly describe the Hochschild cohomology of its Jacobi algebra in terms of dimer combinatorics. We then compute the compactly supported Hochschild cohomology of the category of matrix factorizations for the Jacobi algebra with its canonical potential. | |
| dc.description.department | Mathematics | |
| dc.format.mimetype | application/pdf | |
| dc.identifier | doi:10.15781/T2NS0MH1J | |
| dc.identifier.uri | http://hdl.handle.net/2152/68467 | |
| dc.language.iso | en | |
| dc.subject | Dimer models | |
| dc.subject | Matrix factorizations | |
| dc.subject | Hochschild cohomology | |
| dc.subject | Mirror symmetry | |
| dc.subject | Noncommutative geometry | |
| dc.title | Dimer models and Hochschild cohomology | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | The University of Texas at Austin | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy |