컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0252 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-13) Recent Developments in Symplectic Geometry (SS-13) |
| 발표시간(Time) | 20th-D-13:00 -- 13:30 |
| 영문제목 (Title(Eng.)) |
Global Kuranishi charts for moduli spaces of pseudoholomorphic bordered Riemann surfaces |
| 저자(Author(s)) |
Sam Bardwell-Evans1 IBS-CGP1 |
| 초록본문(Abstract) | Moduli spaces of pseudoholomorphic curves and bordered Riemann surfaces with Lagrangian boundary conditions are fundamental objects in symplectic geometry, and especially in Lagrangian Floer theory. These spaces are in general highly singular and must be regularized in order to be useful. The Kuranishi structure method of Fukaya-Oh-Ohta-Ono provides such a regularization, but these structures are usually themselves highly complicated and difficult to work with. In the case of curves, Abouzaid-McLean-Smith and Hirschi-Swaminathan have recently constructed comparatively simple Kuranishi structures, known as global Kuranishi charts. We present an analogous result for moduli spaces of arbitrary pseudoholomorphic bordered Riemann surfaces. The techniques are closely related to those of FOOO and are analytic and differential-topological in nature. |
| 분류기호 (MSC number(s)) |
53D06 |
| 키워드(Keyword(s)) | Moduli space Kuranishi structure |
| 강연 형태 (Language of Session (Talk)) |
English |