Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA611.SPR. FCT 94689 (Browse shelf) | 1 | Available |
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QA329.7.SPR. FCT 94685 Pseudo-differential operators and related topics | HF5693.SPR. FCT 94686 Stochastic finance | QA612.3.SPR. FCT 94687 The heart of cohomology | QA611.SPR. FCT 94689 On the topology of isolated singularities in analytic spaces | TA330.SPR. FCT 94690 Probability and risk analysis | QA611.SPR. FCT 94692 String topology and cyclic homology | QA402.5.SPR. FCT 94693 Numerical optimization |
Colocação: Online
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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