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AMS/IP Studies in Advanced Mathematics Integrable Systems, Geometry & TopologyPublished: January 2006 Publisher: American Mathematical Society / International Press Language: English Paperback 256 pages List Price: $61.00 
Description
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 wellknown, 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 nwave equation when the ambient manifold is Euclidean. MukaiHidano and Ohnita present a survey on the moduli space of YangMillsHiggs equations on Riemann surfaces. The article by Terng and Uhlenbeck explains the gauge equivalence of the matrix nonlinear Schrödinger equation, the Schrödinger 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. Titles in this series are copublished with International Press, Cambridge, MA.
This volume is part of the AMS/IP Studies in Advanced Mathematics book series.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 

2019 Apr 
9781470438258 
EBook 
In Print 

2006 Jan 
9780821840481 
0821840487 
paperback 
In Print 
US$61.00 