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Item Details
Title: FLOER HOMOLOGY GROUPS IN YANG-MILLS THEORY
By: S. K. Donaldson, M. Furuta, D. Kotschick
Format: Electronic book text

List price: £85.00


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ISBN 10: 0511543093
ISBN 13: 9780511543098
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 19 August, 2009
Series: Cambridge Tracts in Mathematics 147
Description: Fields-medal winner Donaldson reviews current work, including his own, on the theory of Floer.
Synopsis: The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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