Filtered Fukaya categories
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913443117793280 |
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| author | Ambrosioni, Giovanni |
| author_facet | Ambrosioni, Giovanni |
| contents | We upgrade the natural weakly-filtered structure of Fukaya categories discussed in arXiv:1806.06630 to a genuinely filtered one. The main tools are a Morse-Bott, or 'cluster', model for Fukaya categories and a particular choice of class of perturbation data. We also include the construction of continuation $A_\infty$-functors following arXiv:1604.02540v2 in the context of filtered Fukaya categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13600 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Filtered Fukaya categories Ambrosioni, Giovanni Symplectic Geometry We upgrade the natural weakly-filtered structure of Fukaya categories discussed in arXiv:1806.06630 to a genuinely filtered one. The main tools are a Morse-Bott, or 'cluster', model for Fukaya categories and a particular choice of class of perturbation data. We also include the construction of continuation $A_\infty$-functors following arXiv:1604.02540v2 in the context of filtered Fukaya categories. |
| title | Filtered Fukaya categories |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2306.13600 |