ENGLISH

Notes on Seiberg-Witten theory

By Nicolaescu L.I.

Book information

Publisher
American Mathematical Society
Year
2000
ISBN
0821821458
Language
english
Format
PDF
Filesize
2 MB (2081734 bytes)
Series
Graduate Studies in Mathematics, Vol. 28
Edition
draft
Pages
491\491
Library
Kolxo3
Time added
2013-12-29 19:00:00

Description

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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