| 书目名称 | Lagrangian Floer Theory and Its Deformations |
| 副标题 | An Introduction to F |
| 编辑 | Yong-Geun Oh |
| 视频video | |
| 概述 | Explains all mathematical ingredients that provide access to the complex theory of Lagrangian intersection homology.Offers a reader-friendly introduction to the relevant homological algebra of filtere |
| 丛书名称 | KIAS Springer Series in Mathematics |
| 图书封面 |  |
| 描述 | A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara‘s homotopy characterization of H-spaces and loop spaces. At the beginning of the 1990s, a similar structure was introduced by Fukaya in his categorification of Floer homology in symplectic topology. This structure plays a fundamental role in the celebrated homological mirror symmetry proposal by Kontsevich and in more recent developments of symplectic topology..A detailed construction of A-infinity algebra structure attached to a closed Lagrangian submanifold is given in Fukaya, Oh, Ohta, and Ono‘s two-volume monograph .Lagrangian Intersection Floer Theory. (AMS-IP series 46 I & II), using the theory of Kuranishi structures—a theory that has been regarded as being not easily accessible to researchers in general. The present lecture note is provided by one of the main contributors to the Lagrangian Floer theory and is intended to provide a quick, reader-friendly explanation of the geometric part of the construction. Discussion of the Kuranishi structures is minimized, with more focus on the calculations and applicat |
| 出版日期 | Textbook 2024 |
| 关键词 | A-Infinity Structure; Lagrangian Submanifolds; Moduli Space of Pseudoholomorphic Discs; Fukaya Category |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-97-1798-9 |
| isbn_softcover | 978-981-97-1800-9 |
| isbn_ebook | 978-981-97-1798-9Series ISSN 2731-5142 Series E-ISSN 2731-5150 |
| issn_series | 2731-5142 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 16:47:53
