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.
| ISBN: | 9780821821459 |
| Publication date: | 30th October 2000 |
| Author: | Liviu I Nicolaescu, American Mathematical Society |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 484 pages |
| Series: | Graduate Studies in Mathematics |
| Genres: |
Topology |