
The classification of Hamiltonian stationary Lagrangian tori in CP^2 by their spectral data.
Title  The classification of Hamiltonian stationary Lagrangian tori in CP^2 by their spectral data. 
Publication Type  Journal Article 
Year of Publication  2011 
Authors  Hunter R, McIntosh I 
Refereed Designation  Refereed 
Journal  Manuscripta Mathematica 
Volume  135 
Start Page  437 
Pagination  437468 
Date Published  07/2011 
Abstract  It is known that all weakly conformal Hamiltonian stationary Lagrangian immersions of tori in the complex projective plane may be constructed by methods from integrable systems theory. This article describes the precise details of a construction which leads to a form of classification. The immersion is encoded as spectral data in a similar manner to the case of minimal Lagrangian tori in the complex projective plane, but the details require a careful treatment of both the "dressing construction" and the spectral data to deal with a loop of flat connexions which is quadratic in the loop parameter.

URL  http://www.springerlink.com/content/c5887n3463841x85/ 
DOI  DOI: 10.1007/s0022901004256 
Eprint number  http://front.math.ucdavis.edu/1004.1968

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Edited 27 Sep 2011  11:35 by im7
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