Toric degenerations of Gelfand-Cetlin systems and potential functions

Takeo Nishinou, Yuichi Nohara, Kazushi Ueda

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)

Abstract

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
Volume224
Issue number2
DOIs
Publication statusPublished - 2010 Jun 1

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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