The Wild World of 4-Manifolds

The Wild World of 4-Manifolds
Author :
Publisher : American Mathematical Soc.
Total Pages : 642
Release :
ISBN-10 : 9780821837498
ISBN-13 : 0821837494
Rating : 4/5 (98 Downloads)

Book Synopsis The Wild World of 4-Manifolds by : Alexandru Scorpan

Download or read book The Wild World of 4-Manifolds written by Alexandru Scorpan and published by American Mathematical Soc.. This book was released on 2005-05-10 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers 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 small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.


The Wild World of 4-Manifolds Related Books

The Wild World of 4-Manifolds
Language: en
Pages: 642
Authors: Alexandru Scorpan
Categories: Mathematics
Type: BOOK - Published: 2005-05-10 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The b
The Wild World of 4-Manifolds
Language: en
Pages: 614
Authors: Alexandru Scorpan
Categories: Mathematics
Type: BOOK - Published: 2022-01-26 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The
4-Manifolds and Kirby Calculus
Language: en
Pages: 576
Authors: Robert E. Gompf
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Presents an exposition of Kirby calculus, or handle body theory on 4-manifolds. This book includes such topics as branched coverings and the geography of comple
Surgery on Compact Manifolds
Language: en
Pages: 321
Authors: Charles Terence Clegg Wall
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, i
Knots and Links
Language: en
Pages: 458
Authors: Dale Rolfsen
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting int