Toric degenerations of Gelfand-Cetlin systems and potential functions

By T. Nishinou, Yuichi Nohara, Kazushi Ueda. 2008

124 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a3c6837b6bbc89cd5f5f6f559fb566e90a6a39d6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Megumi Harada
2. Kiumars Kaveh
3. Chi Li

In Mathematical Physics

1. Megumi Harada
2. Kiumars Kaveh

Citations in the corpus

• Integrable systems, toric degenerations and Okounkov bodies (2012, methodology): “Hamiltonian vector field” (defined by Ruan [46] and also used by Nishinou– Nohara–Ueno [41]) onX, wherewe think ofX as aKähler space by embedding it into the product of an appropriate projective space with C.”