Double-dimer condensation and the PT-DT correspondence
| Autor: | Jenne, Helen, Webb, Gautam, Young, Benjamin |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 91 pages, 15 figures. This is the full version of the FPSAC extended abstract arXiv:2012.08484 |
| Databáze: | arXiv |
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