Speculations on higher Fukaya categories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913765506678784 |
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| author | Pascaleff, James Sibilla, Nicolò |
| author_facet | Pascaleff, James Sibilla, Nicolò |
| contents | We investigate a possible theory of higher Fukaya categories associated to $n$-shifted symplectic stacks, where $n \geq 0$. We consider two paradigmatic cases, the shifted cotangent stack of a smooth manifold and the coadjoint stack of a compact Lie group, drawing connections to the work of Teleman and 3D mirror symmetry. Our evidence includes some new results in $1$-shifted symplectic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Speculations on higher Fukaya categories Pascaleff, James Sibilla, Nicolò Symplectic Geometry Algebraic Geometry 53D37, 14A30 We investigate a possible theory of higher Fukaya categories associated to $n$-shifted symplectic stacks, where $n \geq 0$. We consider two paradigmatic cases, the shifted cotangent stack of a smooth manifold and the coadjoint stack of a compact Lie group, drawing connections to the work of Teleman and 3D mirror symmetry. Our evidence includes some new results in $1$-shifted symplectic geometry. |
| title | Speculations on higher Fukaya categories |
| topic | Symplectic Geometry Algebraic Geometry 53D37, 14A30 |
| url | https://arxiv.org/abs/2503.20906 |