| 书目名称 | Kuranishi Structures and Virtual Fundamental Chains | | 编辑 | Kenji Fukaya,Yong-Geun Oh,Kaoru Ono | | 视频video | | | 概述 | Is the first book to provide a foundation of techniques of virtual fundamental chain by the originators of the theory.Makes a timely appearance with details of the theory much needed for further devel | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s to apply this machinery on general symplectic manifolds without assuming any specific restrictions. It was further amplified by this book’s authors in their monograph .Lagrangian Intersection Floer Theory. and in many other publications of theirs and others. Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of Kuranishi structures..Part I discusses the theory on a single space equipped with Kuranishi structure, called a K-space, and its relevant basic package. First, the definition of a K-space and maps to the standard manifold are provided. Definitions are given for fiber products, differentialforms, partitions of unity, and the notion of CF-perturbations on the K-space. Then, using CF-perturbations, the authors define the integration on K-space and the push-forward of differential forms, and generalize Stokes‘ formula and F | | 出版日期 | Book 2020 | | 关键词 | Virtual fundamental chain; Kuranishi structure; Floer homology; A infinity structure; Pseudo holomorphic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-15-5562-6 | | isbn_softcover | 978-981-15-5564-0 | | isbn_ebook | 978-981-15-5562-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Nature Singapore Pte Ltd. 2020 |
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发表于 2025-3-21 19:42:01
