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4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics)
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Ubicado en: Williamsburg, Virginia, Estados Unidos
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N.º de artículo de eBay:267306711159
Última actualización el 17 sep 2025 08:30:35 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- Binding
- Paperback
- ISBN
- 9781470474553
Acerca de este producto
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
1470474557
ISBN-13
9781470474553
eBay Product ID (ePID)
6069254908
Product Key Features
Book Title
4-Manifolds and Kirby Calculus
Number of Pages
558 Pages
Language
English
Book Series
Graduate Studies in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
1.2 in
Item Weight
36.3 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Series Volume Number
20
Table Of Content
4-manifolds: Introduction; Surfaces in 4-manifolds; Complex surfaces; Kirby calculus: Handlebodies and Kirby diagrams; Kirby calculus; More examples; Applications: Branched covers and resolutions; Elliptic and Lefschetz fibrations; Cobordisms, $h$-cobordisms and exotic ${\mathbb{R}}^{4,}$s; Symplectic 4-manifolds; Stein surfaces; Appendices: Solutions; Notation, important figures; Bibliography; Index.
Synopsis
Since the early 1980s, there has been an explosive growth in 4-manifold theory, particularly due to the influx of interest and ideas from gauge theory and algebraic geometry. This book offers an exposition of the subject from the topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature. Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research. Part II is devoted to an exposition of Kirby calculus, or handlebody theory on 4-manifolds. It is both elementary and comprehensive. Part III offers in-depth treatments of a broad range of topics from current 4-manifold research. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. The authors present many important applications. The text is supplemented with over 300 illustrations and numerous exercises, with solutions given in the book. I greatly recommend this wonderful book to any researcher in 4-manifold topology for the novel ideas, techniques, constructions, and computations on the topic, presented in a very fascinating way. I think really that every student, mathematician, and researcher interested in 4-manifold topology, should own a copy of this beautiful book. --Zentralblatt MATH This book gives an excellent introduction into the theory of 4-manifolds and can be strongly recommended to beginners in this field ... carefully and clearly written; the authors have evidently paid great attention to the presentation of the material ... contains many really pretty and interesting examples and a great number of exercises; the final chapter is then devoted to solutions of some of these ... this type of presentation makes the subject more attractive and its study easier. --European Mathematical Society Newsletter
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