Calabi-Yau structures on Rabinowitz Fukaya categories
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866912009251979264 |
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| author | Bae, Hanwool Jeong, Wonbo Kim, Jongmyeong |
| author_facet | Bae, Hanwool Jeong, Wonbo Kim, Jongmyeong |
| contents | In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain $M$ of dimension $2n$ is $(n-1)$-Calabi--Yau assuming the wrapped Fukaya category of $M$ admits an at most countable set of Lagrangians that generate it and satisfy some finiteness condition on morphism spaces between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau structures on Rabinowitz Fukaya categories Bae, Hanwool Jeong, Wonbo Kim, Jongmyeong Symplectic Geometry 53D37, 53D40, 18G70 In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain $M$ of dimension $2n$ is $(n-1)$-Calabi--Yau assuming the wrapped Fukaya category of $M$ admits an at most countable set of Lagrangians that generate it and satisfy some finiteness condition on morphism spaces between them. |
| title | Calabi-Yau structures on Rabinowitz Fukaya categories |
| topic | Symplectic Geometry 53D37, 53D40, 18G70 |
| url | https://arxiv.org/abs/2304.02561 |