Notes on Seiberg-Witten Theory (eBook)

Liviu I Nicolaescu (Autor)

eBook Download: PDF

2015
484 Seiten
American Mathematical Society (Verlag)
978-1-4704-2083-3 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 2.1.2015
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2083-X / 147042083X
• ISBN-13: 978-1-4704-2083-3 / 9781470420833