Notes on Seiberg-Witten theory

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Notes on Seiberg-Witten theory

Notes on Seiberg-Witten theory

Name: Notes on Seiberg-Witten theory
ISBN: 9780821821459

Nicolaescu L.I.

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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

Kategorien:

Mathematics

Jahr:

2000

Auflage:

draft

Verlag:

American Mathematical Society

Sprache:

english

Seiten:

491