Floer homology groups in Yang-Mills theory

By:

Donaldson, S. K

Series: Cambridge tracts in mathematics, no. 147Publication details: Cambridge University Press, 2002. Cambridge:Description: vii, 236p.; hbk; 24cmISBN:

9780521808033

Subject(s):

DDC classification:

516.36 DON

Summary: 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. https://www.cambridge.org/core/books/floer-homology-groups-in-yangmills-theory/AC2BC9FE7B25EE8339E80C22335680F3#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	516.36 DON (Browse shelf(Opens below))	1	Available		031769

Includes index and references

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.

https://www.cambridge.org/core/books/floer-homology-groups-in-yangmills-theory/AC2BC9FE7B25EE8339E80C22335680F3#fndtn-information

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