Connections, Definite Forms, and Four-Manifolds

Name: Connections, Definite Forms, and Four-Manifolds
Brand: Oxford University Press
SKU: 9780198535997
Price: 9997.0 INR
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by Margaret Isherwood

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ISBN13: 9780198535997
Binding: Hardcover
Subject: N/A
Publisher: Oxford University Press
Publisher Imprint: Oxford University Press
Publication Date: January 31, 1991
Pages: 142
Original Price: GBP 70.0
Language: English
Edition: N/A
Item Weight: 366 grams
BISAC Subject(s): Geometry / General

About The Book

The central theme of this book is the study of self-dual connections on four-manifolds. The author's aim is to present a lucid introduction to moduli space techniques (for vector bundles with SO (3) as structure group) and to apply them to four-manifolds. The authors have adopted a topologists' perspective. For example, they have included some explicit calculations using the Atiyah-Singer index theorem as well as methods from equivariant topology in the study of the topology of the moduli space. Results covered include Donaldson's Theorem that the only positive definite form which occurs as an intersection form of a smooth four-manifold is the standard positive definite form, as well as those of Fintushel and Stern which show that the integral homology cobordism group of integral homology three-spheres has elements of infinite order. Little previous knowledge of differential geometry is assumed and so postgraduate students and research workers will find this both an accessible and complete introduction to currently one of the most active areas of mathematical research.

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