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: | Jan 1991 |
| Publisher: | Oxford University Press
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| Book Format: | Hardback |
| List Price: | AUD $156.32AUD $201.00 |
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.