The Combinatorial PT-DT Correspondence
| dc.contributor.advisor | Young, Benjamin | |
| dc.contributor.author | Webb, Gautam | |
| dc.date.accessioned | 2021-11-23T15:11:14Z | |
| dc.date.available | 2021-11-23T15:11:14Z | |
| dc.date.issued | 2021-11-23 | |
| dc.description.abstract | We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas theory and Pandharipande-Thomas theory) are equal up to a factor of MacMahon's generating function for plane partitions. The main tools in our proof are a Desnanot-Jacobi-type condensation identity, and a novel application of the tripartite double-dimer model of Kenyon-Wilson. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/26871 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | Desnanot-Jacobi identity | en_US |
| dc.subject | Donaldson-Thomas theory | en_US |
| dc.subject | double-dimer model | en_US |
| dc.subject | Pandharipande-Thomas theory | en_US |
| dc.subject | plane partitions | en_US |
| dc.title | The Combinatorial PT-DT Correspondence | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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