Connections, Definite Forms, and Four-Manifolds |
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Author:
| Petrie, Ted Randall, John |
Series title: | Oxford Mathematical Monographs |
ISBN: | 978-0-19-853599-7 |
Publication Date: | Feb 1991 |
Publisher: | Oxford University Press, Incorporated
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Imprint: | Clarendon Press |
Book Format: | Hardback |
List Price: | USD $110.00 |
Book Description:
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The central theme of this book is the study of the relationship between the geometry and topology of four-manifolds. The authors' 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. They have included explicit calculations using the Atiyah-Singer index theorem; results covered include Donaldson's Theorem and those of Fintushel and Stern.
The central theme of this book is the study of the relationship between the geometry and topology of four-manifolds. The authors' 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. They have included explicit calculations using the Atiyah-Singer index theorem; results covered include Donaldson's Theorem and those of Fintushel and Stern.