Integrable Systems, Geometry, and Topology

Language: English

Published by American Mathematical Society, US, 2006

0821840487 / 9780821840481

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The articles in this volume are based on lectures from a program on integrable systems and differential geometry held at Taiwan's National Center for Theoretical Sciences. As is well-known, for many soliton equations, the solutions have interpretations as differential geometric objects, and thereby techniques of soliton equations have been successfully applied to the study of geometric problems. The article by Burstall gives a beautiful exposition on isothermic surfaces and their relations to integrable systems, and the two articles by Guest give an introduction to quantum cohomology, carry out explicit computations of the quantum cohomology of flag manifolds and Hirzebruch surfaces, and give a survey of Givental's quantum differential equations.The article by Heintze, Liu, and Olmos is on the theory of isoparametric submanifolds in an arbitrary Riemannian manifold, which is related to the n-wave equation when the ambient manifold is Euclidean. Mukai-Hidano and Ohnita present a survey on the moduli space of Yang-Mills-Higgs equations on Riemann surfaces. The article by Terng and Uhlenbeck explains the gauge equivalence of the matrix non-linear Schrodinger equation, the Schrodinger flow on Grassmanian, and the Heisenberg Feromagnetic model. The book provides an introduction to integrable systems and their relation to differential geometry. It is suitable for advanced graduate students and research mathematicians.…

Seller Inventory # LU-9780821840481

Title
Integrable Systems, Geometry, and Topology
Author
American Mathem
Publisher
American Mathematical Society, US
Publication year
2006
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821840487
ISBN 13
9780821840481
Item weight
482 grams

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