Notes on Seiberg-Witten Theory

American Mathematical Society (Autor)

Buch | Hardcover

2000
American Mathematical Society (Verlag)
978-0-8218-2145-9 (ISBN)

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Presents a basic collection of principles, techniques, and applications needed to conduct independent research in gauge theory and its use in geometry and topology. This title includes self-contained computations of the Seiberg-Witten invariants of most simply connected algebraic surfaces using Witten's factorization method.

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.

Preliminaries The Seiberg-Witten invariants Seiberg-Witten equations on complex surfaces Gluing techniques Epilogue Bibliography Index.

Erscheint lt. Verlag	1.6.2007
Reihe/Serie	Graduate Studies in Mathematics
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	1095 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-2145-8 / 0821821458
ISBN-13	978-0-8218-2145-9 / 9780821821459
Zustand	Neuware