| 书目名称 | Smooth Four-Manifolds and Complex Surfaces |
| 编辑 | Robert Friedman,John W. Morgan |
| 视频video | |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970‘s the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as general qualitative results had been obtained. As an example of such a qualitative result, a closed, simply connected manifold of dimension 2: 5 is determined up to finitely many diffeomorphism possibilities by its homotopy type and its Pontrjagin classes. There are similar results for self-diffeomorphisms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold M of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes [131]. Once the high dimensional theory was in good shape, attention shifted to the remaining, and seemingly exceptional, dimensions 3 |
| 出版日期 | Book 1994 |
| 关键词 | 4-Manifold; 4-Mannigfaltigkeiten; Anti-Self-Dual Connection; Complex Surface; Donaldson Polynomial; Donal |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-03028-8 |
| isbn_softcover | 978-3-642-08171-2 |
| isbn_ebook | 978-3-662-03028-8Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer-Verlag Berlin Heidelberg 1994 |
发表于 2025-3-21 16:45:17
