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| Hardcover ISBN: | 978-0-8218-2145-9 |
| Product Code: | GSM/28 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
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| eBook ISBN: | 978-1-4704-2083-3 |
| Product Code: | GSM/28.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
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| Hardcover ISBN: | 978-0-8218-2145-9 |
| eBook ISBN: | 978-1-4704-2083-3 |
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Book DetailsGraduate Studies in MathematicsVolume: 28; 2000; 484 ppMSC: Primary 57; 58; 14; 53
In this volume the author presents, in great detail and with many examples, a basic collection of principles, techniques, and applications needed to conduct independent research in gauge theory and its use in geometry and topology. Complete and self-contained computations of the Seiberg-Witten invariants of most simply connected algebraic surfaces using only Witten's factorization method are included. Also given is a new approach to cutting and pasting Seiberg-Witten invariants, which is illustrated by examples such as the connected sum theorem, the blow-up formula, and a proof of a vanishing result of Fintushel and Stern. The book is a suitable textbook for advanced graduate courses in differential geometry, algebraic topology, basic PDEs and functional analysis.
ReadershipGraduate students and research mathematicians interested in geometry and topology.
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Table of Contents
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Chapters
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Chapter 1. Preliminaries
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Chapter 2. The Seiberg-Witten invariants
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Chapter 3. Seiberg-Witten equations on complex surfaces
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Chapter 4. Gluing techniques
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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In this volume the author presents, in great detail and with many examples, a basic collection of principles, techniques, and applications needed to conduct independent research in gauge theory and its use in geometry and topology. Complete and self-contained computations of the Seiberg-Witten invariants of most simply connected algebraic surfaces using only Witten's factorization method are included. Also given is a new approach to cutting and pasting Seiberg-Witten invariants, which is illustrated by examples such as the connected sum theorem, the blow-up formula, and a proof of a vanishing result of Fintushel and Stern. The book is a suitable textbook for advanced graduate courses in differential geometry, algebraic topology, basic PDEs and functional analysis.
Graduate students and research mathematicians interested in geometry and topology.
-
Chapters
-
Chapter 1. Preliminaries
-
Chapter 2. The Seiberg-Witten invariants
-
Chapter 3. Seiberg-Witten equations on complex surfaces
-
Chapter 4. Gluing techniques
