Notes on Seiberg-Witten theory
Nicolaescu L.I.
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
カテゴリー:
年:
2000
版:
draft
出版社:
American Mathematical Society
言語:
english
ページ:
491
ISBN 10:
0821821458
ISBN 13:
9780821821459
シリーズ:
Graduate Studies in Mathematics, Vol. 28
ファイル:
PDF, 1.99 MB
IPFS:
,
english, 2000