Graduate Studies in Mathematics 2000; 484 pp; hardcover Volume: 28 ISBN10: 0821821458 ISBN13: 9780821821459 List Price: US$72 Member Price: US$57.60 Order Code: GSM/28
 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 selfcontained computations of the SeibergWitten 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 SeibergWitten invariants, which is illustrated by examples such as the connected sum theorem, the blowup 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. Readership Graduate students and research mathematicians interested in geometry and topology. Table of Contents  Preliminaries
 The SeibergWitten invariants
 SeibergWitten equations on complex surfaces
 Gluing techniques
 Epilogue
 Bibliography
 Index
