Explicitly Computing with Fukaya Categories of Surfaces with Boundary
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917551579070464 |
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| author | Grossack, Chris |
| author_facet | Grossack, Chris |
| contents | Fukaya categories are deep and rich invariants of symplectic manifolds which are notoriously difficult to compute explicitly. In the case of surfaces, however, the situation is simple, combinatorial,and is very well understood (at least by experts). In this expository paper we will give an introduction with many examples to welcome newcomers to the area and hopefully equip them with the tools to independently compute Fukaya categories of surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicitly Computing with Fukaya Categories of Surfaces with Boundary Grossack, Chris Symplectic Geometry Category Theory Fukaya categories are deep and rich invariants of symplectic manifolds which are notoriously difficult to compute explicitly. In the case of surfaces, however, the situation is simple, combinatorial,and is very well understood (at least by experts). In this expository paper we will give an introduction with many examples to welcome newcomers to the area and hopefully equip them with the tools to independently compute Fukaya categories of surfaces. |
| title | Explicitly Computing with Fukaya Categories of Surfaces with Boundary |
| topic | Symplectic Geometry Category Theory |
| url | https://arxiv.org/abs/2510.10867 |