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Author Seade, J. (José)
Title On the topology of isolated singularities in analytic spaces / Jose Seade.
Imprint Basel ; Boston : Birkhauser Verlag, 2006.

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Series Progress in mathematics ; v. 241
Progress in mathematics (Boston, Mass.) ; v. 241.
Subject Singularities (Mathematics)
Topology.
Analytic spaces.
Geometry, Algebraic.
Description 1 online resource (xiv, 238 pages) : illustrations.
Bibliography Note Includes bibliographical references (pages 221-233) and index.
Summary "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 geometry and topology."--Jacket.
Contents Preliminaries; Preface; Contents; I A Fast Trip Through the Classical Theory; II Motions in Plane Geometry and the 3-dimensional Brieskorn Manifolds; III 3-dimensional Lie Groups and Surface Singularities; IV Within the Realm of the General Index Theorem; V On the Geometry and Topology of Quadrics in CPn; VI Real Singularities and Complex Geometry; VII Real Singularities with a Milnor Fibration; VIII Real Singularities and Open Book Decompositions of the 3-sphere; Bibliography; Index.
Access Use copy Restrictions unspecified star
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011.
System Details Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
Note English.
ISBN 3764373229 (alk. paper)
9783764373221 (alk. paper)
0817673229 (alk. paper)
9780817673222 (alk. paper)
3764373954 (electronic bk.)
9783764373955 (electronic bk.)
6610608865
9786610608867
ISBN/ISSN 10.1007/3-7643-7395-4
Publisher # 11497615
OCLC # 67766312
Additional Format Print version: Seade, J. (Jose). On the topology of isolated singularities in analytic spaces. Basel ; Boston : Birkhauser Verlag, 2006 3764373229 0817673229 (DLC) 2005057014 (OCoLC)62325145