| 书目名称 | Invariants of Homology 3-Spheres | | 编辑 | Nikolai Saveliev | | 视频video | | | 概述 | Guide book with many new results on major topics in topology.Includes supplementary material: | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. It will be appealing to both graduate students and researchers in mathematics and theoretical physics. | | 出版日期 | Book 2002 | | 关键词 | Algebraic topology; Casson invariant; Euler characteristic; Floer homology; Gauge theory; Homotopy; Invari | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-04705-7 | | isbn_softcover | 978-3-642-07849-1 | | isbn_ebook | 978-3-662-04705-7Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2002 |
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发表于 2025-3-21 19:39:45
