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Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts)
 
 
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Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts) (Paperback)

~ (Author) "We assume that the reader is familiar with the idea of a (smooth) manifold..." (more)
Key Phrases: finite uniton number, harmonic map equation, minimal uniton number, Reality Assumption, Kac-Moody Lie (more...)
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Editorial Reviews

Review

'... an accessible introduction to some of the fundamental connections beween differental geometry, Lie groups and integrable Hamiltonian systems.' L'Enseignement Mathematique 'It is very rare to find a book that can take a student from the very basics of a subject to the frontiers of active research. The author is to be congratulated on having produced just such a rarity!' Bulletin of the London Mathematics Society 'The book will certainly be appreciated by mathematicians as well as theoretical physics interested in the subject.' European Mathematical Society

Review

"This is an accessible and very interesting text..." Monashefte fur Mathematik

"This is an accessible and very interesting text..." Monashefte fur Mathematik

"...a very well written, easily accessible introduction to how loop group techniques are used in the description of harmonic maps from Riemann surfaces to compact Lie groups and compant symmetric spaces...The book presents in a unifying way a very nice introduction to a new part of harmonice map theory, is easily accessible, fun to read and has a modest price. It is an ideal text for a beginning graduate student and any newcomer to the field." Bulletin of the American Mathematical Society

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