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The classification of Hamiltonian stationary Lagrangian tori in CP^2 by their spectral data.

Research group:
Geometry
TitleThe classification of Hamiltonian stationary Lagrangian tori in CP^2 by their spectral data.
Publication TypeJournal Article
Year of Publication2011
AuthorsHunter R, McIntosh I
Refereed DesignationRefereed
JournalManuscripta Mathematica
Volume135
Start Page437
Pagination437-468
Date Published07/2011
AbstractIt 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.
URLhttp://www.springerlink.com/content/c5887n3463841x85/
DOIDOI: 10.1007/s00229-010-0425-6
E-print numberhttp://front.math.ucdavis.edu/1004.1968

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Edited 27 Sep 2011 - 11:35 by im7

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