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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2606.00687 |
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| _version_ | 1866917550302953472 |
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| author | Courte, Sylvain Shende, Vivek |
| author_facet | Courte, Sylvain Shende, Vivek |
| contents | From a generating function for a Legendrian in a $1$-jet bundle, we may extract the following topological information: (1) a trivialization of the stable Gauss map, (2) the sheaf of sub-level-set stable cohomotopies, and (3) an identification of the microlocalization of the latter with the J-homomorphism image of the former. Here we show that in fact (1), (2), (3) completely classify generating functions up to the classical equivalence relations of stabilization and fiberwise diffeomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00687 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A topological classification of generating functions Courte, Sylvain Shende, Vivek Symplectic Geometry From a generating function for a Legendrian in a $1$-jet bundle, we may extract the following topological information: (1) a trivialization of the stable Gauss map, (2) the sheaf of sub-level-set stable cohomotopies, and (3) an identification of the microlocalization of the latter with the J-homomorphism image of the former. Here we show that in fact (1), (2), (3) completely classify generating functions up to the classical equivalence relations of stabilization and fiberwise diffeomorphism. |
| title | A topological classification of generating functions |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2606.00687 |