Toric degenerations of Gelfand-Cetlin systems and potential functions

Takeo Nishinou, Yuichi Nohara, Kazushi Ueda

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)648-706
Number of pages59
JournalAdvances in Mathematics
Issue number2
Publication statusPublished - 2010 Jun 1


  • Gelfand-Cetlin system
  • Lagrangian intersection Floer theory
  • Toric degeneration

ASJC Scopus subject areas

  • Mathematics(all)


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