Notes on Seiberg-Witten Theory (repost)
Notes on Seiberg-Witten Theory (Graduate Studies in Mathematics, Vol. 28) by Liviu I. Nicolaescu
English | 2000-10-03 | ISBN: 0821821458 | PDF | 484 pages | 2 MB
English | 2000-10-03 | ISBN: 0821821458 | PDF | 484 pages | 2 MB
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.