References to earlier work, with comments and corrections where appropriate, classified by topic:
Lie groups and their representations in differential topology
Equivariant harmonic maps between homogeneous spaces
The topology of spaces of holomorphic maps; configuration spaces
Spaces of harmonic maps, and group actions on harmonic maps
Harmonic Maps, Loop Groups, and Integrable Systems
Cambridge University Press, LMS Student Texts 38, 1997
Hardcover: ISBN 0521580854, price $59.95
Softcover: ISBN 0521589320, price $21.95
Link to Cambridge University Press catalogue.
The book is based on lectures I gave in Tokyo in 1994 and Rochester in 1995. It gives a very brief introduction to the theory of integrable systems and the theory of loop groups, and it explains how these theories have come to play a fundamental role in the theory of harmonic maps. The main applications are to harmonic maps of "finite uniton number" and harmonic maps of "finite type". Further details can be found in the preface