Notes on Seiberg-Witten theory

by Nicolaescu, Liviu I.

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Title Statements

Full title :Notes on Seiberg-Witten theory / Liviu I. Nicolaescu.

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 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.

Edition Statements

Publication Date:©2000

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©2000

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781470420833, 147042083X, 0821821458, 9780821821459
oclc:ocn907370503
LC Classification:QA614
Dewey Decimal:514/.2

Subjects

Analyse globale (Mathématiques) Four-manifolds (Topology) Global analysis (Mathematics) Invariants de Seiberg-Witten Mathematical physics Physique mathématique Seiberg-Witten invariants Variétés topologiques à 4 dimensions