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On the Topology of Isolated Singularities in Analytic Spaces (Progress in Mathematics) [Hardcover]

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Item description for On the Topology of Isolated Singularities in Analytic Spaces (Progress in Mathematics) by Jose Seade...

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize.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.

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Item Specifications...


Pages   238
Est. Packaging Dimensions:   Length: 0.75" Width: 6.25" Height: 9"
Weight:   1.25 lbs.
Binding  Hardcover
Release Date   Dec 7, 2005
Publisher   Birkhäuser Basel
ISBN  3764373229  
ISBN13  9783764373221  


Availability  64 units.
Availability accurate as of May 25, 2017 02:37.
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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
8Books > Subjects > Science > Mathematics > Mathematical Analysis
9Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
10Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory



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