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Notes on Seiberg-Witten theory

Author: Liviu I Nicolaescu
Publisher: Providence, Rhode Island : American Mathematical Society, [2000] ©2000
Series: Graduate studies in mathematics, v. 28.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nicolaescu, Liviu I.
Notes on Seiberg-Witten theory.
Providence, Rhode Island : American Mathematical Society, [2000]
xviii, 484 pages ; 26 cm
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Liviu I Nicolaescu
ISBN: 9781470420833 147042083X 0821821458 9780821821459
OCLC Number: 907370503
Description: 1 online resource.
Contents: Chapter 1. Preliminaries Chapter 2. The Seiberg-Witten invariants Chapter 3. Seiberg-Witten equations on complex surfaces Chapter 4. Gluing techniques.
Series Title: Graduate studies in mathematics, v. 28.
Responsibility: Liviu I. Nicolaescu.

Abstract:

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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