The wild world of 4-manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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A.Scorpan 作者

American Mathematical Society

译者

2005-5-10 出版日期

609 页数

623.8 价格

丛书系列

9780821837498 图书编码

The wild world of 4-manifolds 在线电子书图书标签: 数学 4-manifold 流形 Mathematics 经典微分拓扑7 topology math

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The wild world of 4-manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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这才是真正的科普书

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这才是真正的科普书

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This is a panorama of the topology of simply-connected smooth manifolds of dimension four.

Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today.

The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.

The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.

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