Augmentation varieties and disk potentials I
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866908742104121344 |
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| author | Blakey, Kenneth Chanda, Soham Sun, Yuhan Woodward, Chris T. |
| author_facet | Blakey, Kenneth Chanda, Soham Sun, Yuhan Woodward, Chris T. |
| contents | 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 foundations of moduli spaces of pseudoholomorphic buildings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17821 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Augmentation varieties and disk potentials I Blakey, Kenneth Chanda, Soham Sun, Yuhan Woodward, Chris T. Symplectic Geometry 53D05, 53D10, 57R17, 53D42 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 foundations of moduli spaces of pseudoholomorphic buildings. |
| title | Augmentation varieties and disk potentials I |
| topic | Symplectic Geometry 53D05, 53D10, 57R17, 53D42 |
| url | https://arxiv.org/abs/2310.17821 |