Integrability, Self-Duality, and Twistor Theory (London Mathematical Society Monographs New Series, Band 15)
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Beschreibung
It has been known for some time that many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection (for example, the Korteweg-de Vries and nonlinear Schrödinger equations are reductions of the self-dual Yang-Mills equation). This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems. It has two central themes: first, that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and second that twistor theory provides a uniform geometric framework for the study of B¿ acklund tranformations, the inverse scattering method, and other such general constructions of integrability theory, and that it elucidates the connections between them.
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![Witten Non Abelian Localization for Equivariant K-theory, and the [Q,R]= 0 Theorem (261) (Memoirs of the American Mathematical Society, 1257, Band 261)](https://d3k2uuz9r025mk.cloudfront.net/media/image/47/d7/69/1776258024_138717603718.jpg "Witten Non Abelian Localization for Equivariant K-theory, and the [Q,R]= 0 Theorem (261) (Memoirs of the American Mathematical Society, 1257, Band 261)")