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.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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3
books
cite this book:
- Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics) by Friedrich Ischebeck in Back Matter
- Magnetic Monopoles (Theoretical and Mathematical Physics) by Yakov M. Shnir in Back Matter
- Complex Spaces in Finsler, Lagrange and Hamilton Geometries (Fundamental Theories of Physics) by Gheorghe Munteanu in Back Matter
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