Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.06310 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929671374897152 |
|---|---|
| author | Khan, Isabella |
| author_facet | Khan, Isabella |
| contents | This paper establishes an isomorphism between endomorphism algebras from the wrapped Fukaya category of a type of punctured surface, and the class of A-infinity algebras related to bordered knot Floer homology, called star algebras, which the author first constructed in her previous work. By viewing the star algebras as A-infinity deformations of underlying associative algebras and making several calculations with Hochschild cohomology, we verify that the star algebras are unique with a given set of generators and basic A-infinity relations. We then make model calculations in order to establish that the endomorphism algebras have these generators and basic operations, so that the desired isomorphism follows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06310 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bordered algebras and the wrapped Fukaya category Khan, Isabella Geometric Topology Symplectic Geometry This paper establishes an isomorphism between endomorphism algebras from the wrapped Fukaya category of a type of punctured surface, and the class of A-infinity algebras related to bordered knot Floer homology, called star algebras, which the author first constructed in her previous work. By viewing the star algebras as A-infinity deformations of underlying associative algebras and making several calculations with Hochschild cohomology, we verify that the star algebras are unique with a given set of generators and basic A-infinity relations. We then make model calculations in order to establish that the endomorphism algebras have these generators and basic operations, so that the desired isomorphism follows. |
| title | Bordered algebras and the wrapped Fukaya category |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2501.06310 |