Geometry and integrability

Lionel Mason, Yavuz Nutku, Collectif Cambridge

168 pages, parution le 04/11/2003

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Résumé

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry.

This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.

Contributors : L. Mason, K. P. Tod, N. M. J. Woodhouse, R. Y. Donagi, P. Santini, F. Calogero, Y. Nutku

Introduction
Differential equations featuring many periodic solutions
Geometry and integrability
The anti self-dual Yang-Mills equations and their reductions
Curvature and integrability for Bianchi-type IX metrics
Twistor theory for integrable equations
Nonlinear equations and the d-bar problem

L'auteur - Collectif Cambridge

Collectif Cambridge

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Lionel Mason, Yavuz Nutku, Collectif Cambridge
Parution	04/11/2003
Nb. de pages	168
Format	15,3 x 22,7
Couverture	Broché
Poids	295g
Intérieur	Noir et Blanc
EAN13	9780521529990
ISBN13	978-0-521-52999-0