9780198502692-0198502699-The Geometry of Four-Manifolds (Oxford Mathematical Monographs)

The Geometry of Four-Manifolds (Oxford Mathematical Monographs)

ISBN-13: 9780198502692
ISBN-10: 0198502699
Author: Donaldson, S. K., Kronheimer, P. B.
Publication date: 1997
Publisher: Clarendon Press
Format: Paperback 456 pages
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Book details

ISBN-13: 9780198502692
ISBN-10: 0198502699
Author: Donaldson, S. K., Kronheimer, P. B.
Publication date: 1997
Publisher: Clarendon Press
Format: Paperback 456 pages

Summary

Acknowledged authors Donaldson, S. K., Kronheimer, P. B. wrote The Geometry of Four-Manifolds (Oxford Mathematical Monographs) comprising 456 pages back in 1997. Textbook and eTextbook are published under ISBN 0198502699 and 9780198502692. Since then The Geometry of Four-Manifolds (Oxford Mathematical Monographs) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

The last ten 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 proven to be a mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. 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 proven 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 geometry 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. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.

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