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Overview"The last 10 years have seen rapid advances in the understanding of differentiable four-manifolds not least of which has been the discovery of new ""exotic"" manifolds. These results have had far reaching consequences in geometry, topology and mathematical physics and have proved to be a mainspring of current mathematical research. This book provides an accessible account of the modern study of the geometry of four-manifolds. Consequently, it will form required reading for all those mathematicians and theoretical physicists whose research touches on this topic. Pre-requisites are a firm grounding in differential geometry and topology as might be gained from the first year of a graduate course. The authors present both a thorough treatment of the main lines of these developments in four-manifold topology - notably the definition of new invariants of four-manifolds - and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills instantons on four-manifolds are proved in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometery of holomorphic vector bundles. At the end of the book the different strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research." Full Product DetailsAuthor: S. K. Donaldson , P.B. KronheimerPublisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 15.00cm , Height: 3.20cm , Length: 23.00cm Weight: 0.902kg ISBN: 9780198535539ISBN 10: 0198535538 Pages: 449 Publication Date: 01 September 1990 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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