Augmentation varieties and disk potentials I
| Autor: | Blakey, Kenneth, Chanda, Soham, Sun, Yuhan, Woodward, Chris T. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | This is the first in a sequence of papers where we show that Lagrangian fillings such as the Harvey-Lawson filling in any dimension define augmentations of Chekanov-Eliashberg differential graded algebras by counting configurations of holomorphic disks connected by gradient trajectories, as in Aganagic-Ekholm-Ng-Vafa; we also prove that for Legendrian lifts of monotone tori, the augmentation variety is the zero level set of the Landau-Ginzburg potential of the Lagrangian projection, as suggested by Dimitroglou-Rizell-Golovko. In this part, we set up the analytical foundation of moduli spaces of pseudoholomorphic buildings. Comment: 61 pages. The original manuscript arXiv:2310.17821v1 was split into three parts: this being part I |
| Databáze: | arXiv |
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