| 書目名稱 | On the Topology of Isolated Singularities in Analytic Spaces | | 編輯 | José Seade | | 視頻video | http://file.papertrans.cn/702/701296/701296.mp4 | | 概述 | Makes accessible to non-specialists important results about real and complex singularities.Emphasis on the relations to other branches, such as group actions, or quotiens of 3-dimensional Lie groups b | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | .The aim of this book is to give an overview of selected topics on the topology of real and complex isolated singularities, with emphasis on its relations to other branches of geometry and topology. .The first chapters are mostly devoted to complex singularities and a myriad of results spread in a vast literature, which are presented here in a unified way, accessible to non-specialists. Among the topics are the fibration theorems of Milnor; the relation with 3-dimensional Lie groups; exotic spheres; spin structures and 3-manifold invariants; the geometry of quadrics and Arnold‘s theorem which states that the complex projective plane modulo?conjugation is the 4-sphere..The second part?of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry..The book is largely self-contained and serves?a wide audience of graduate students, mathematicians?and researchers interested in?geomet | | 出版日期 | Book 2006 | | 關(guān)鍵詞 | Analytic functions; Complex analysis; Meromorphic function; Singularities; Topology; manifold; open book; o | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7395-4 | | isbn_ebook | 978-3-7643-7395-5Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkh?user Basel 2006 |
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