ENGLISH

Notes on Seiberg-Witten theory

By Liviu I. Nicolaescu

Book information

Publisher
American Mathematical Society
Year
2000
ISBN
0-8218-2145-8, 9780821821459, 46-1997-181-2
Language
english
Format
DJVU
Filesize
3 MB (3548735 bytes)
Series
Graduate Studies in Mathematics 028
Edition
1st
Pages
504\504
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

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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