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Floer Homology Groups in Yang-Mills Theory

Floer Homology Groups in Yang-Mills Theory - 02 edition

ISBN13: 978-0511029240

Cover of Floer Homology Groups in Yang-Mills Theory 02 (ISBN 978-0511029240)
ISBN13: 978-0511029240
ISBN10: 0511029241
Edition: 02
Copyright: 2002
Publisher: Cambridge University Press
Published: 2002
International: No

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Floer Homology Groups in Yang-Mills Theory - 02 edition

ISBN13: 978-0511029240

S. K. Donaldson

ISBN13: 978-0511029240
ISBN10: 0511029241
Edition: 02
Copyright: 2002
Publisher: Cambridge University Press
Published: 2002
International: No
Summary

The concept of Floer homology has been one of the most striking developments in differential geometry over the past 20 years. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas have 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.

  • Written by a Fields Medallist
  • A modern account that sets the theory in the context of current work
  • Has many applications, such as Quantum Field Theory
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