컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0323 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Symplectic Topology (GT-3) |
| 영문제목 (Title(Eng.)) |
Higher rank vector bundles in Fukaya category |
| 저자(Author(s)) |
Hanwool Bae1 Seoul National University1 |
| 초록본문(Abstract) | The objects of Fukaya category of a symplectic manifold are said to be Lagrangian submanifolds equipped with flat line bundles. We extend the set of objects so that they contain not only line bundles but also flat vector bundles of any finite rank. For this purpose, we modify the usual A-infinity structures of Fukaya category using the flat connections and prove that they satisfy the A-infinity relations. Then we also prove that every vector bundle on Lagrangian torus is isomorphic to a certain twisted complex in Fukaya category. |
| 분류기호 (MSC number(s)) |
53D37 |
| 키워드(Keyword(s)) | Fukaya category |
| 강연 형태 (Language of Session (Talk)) |
English |