On the abstract wrapped Floer setups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912791593484288 |
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| author | Morimura, Hayato |
| author_facet | Morimura, Hayato |
| contents | The wrapped Fukaya category of a Liouville sector is defined via an axiomatic construction from the associated abstract wrapped Floer setup. In this paper, we propose a modified axiomatic construction, removing the irrelevant choices and the factorization axiom from the abstract wrapped Floer setup. Based on our modification, we reformulate and then prove a conjecture which essentially claims that the wrapped Fukaya category is obtained as the infinity categorical localization along continuation maps. This amounts to compare the two axiomatic constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the abstract wrapped Floer setups Morimura, Hayato Symplectic Geometry The wrapped Fukaya category of a Liouville sector is defined via an axiomatic construction from the associated abstract wrapped Floer setup. In this paper, we propose a modified axiomatic construction, removing the irrelevant choices and the factorization axiom from the abstract wrapped Floer setup. Based on our modification, we reformulate and then prove a conjecture which essentially claims that the wrapped Fukaya category is obtained as the infinity categorical localization along continuation maps. This amounts to compare the two axiomatic constructions. |
| title | On the abstract wrapped Floer setups |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2512.22755 |