Special Lagrangian fibrations on the flag variety \(F^3\)

DOI10.1007/S11232-011-0042-XzbMath1276.53084arXiv1005.2006OpenAlexW3099407389MaRDI QIDQ377555

N. A. Tyurin

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2006

zbMATH Keywords

flag varietyLagrangian toruspseudotoric structurespecial Lagrangian fibration

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic manifolds (general theory) (53D05) Grassmannians, Schubert varieties, flag manifolds (14M15) Milnor fibration; relations with knot theory (32S55)

Related Items (2)

Example of a moduli space of \(D\)-exact Lagrangian submanifolds: spheres in the flag variety for \(\mathbb{C}^3\) ⋮ Pseudotoric structures on a hyperplane section of a toric manifold

Cites Work

• Toric degenerations of Gelfand-Cetlin systems and potential functions
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Torus actions on symplectic manifolds
• Pseudotoric Lagrangian fibrations of toric and nontoric Fano varieties
• Nontoric foliations by Lagrangian tori of toric Fano varieties
• Chekanov tori and pseudotoric structures

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