Toric degenerations of Gelfand-Cetlin systems and potential functions

Details Toric degenerations of Gelfand-Cetlin systems and potential functions Toric degenerations of Gelfand-Cetlin systems and potential functions

2008-10-20

arxiv.org/abs/0810.3470v2

Mathematics

Symplectic Geometry

54 pages, 8 figures. v2: added section 4, revised section 9, and minor changes here and there

Scientific paper

We define a toric degeneration of an integrable system on a projective
manifold, and prove the existence of a toric degeneration of the Gelfand-Cetlin
system on the flag manifold of type A. As an application, we calculate the
potential function for a Lagrangian torus fiber of the Gelfand-Cetlin system.

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