Pseudotoric structures: Lagrangian submanifolds and Lagrangian fibrations

DOI10.1070/RM9764zbMath1386.53095OpenAlexW2737234255MaRDI QIDQ4596559

N. A. Tyurin

Publication date: 1 December 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9764

zbMATH Keywords

Lagrangian submanifoldsymplectic manifoldLagrangian fibrationtoric manifoldDelzant polytopeexotic Lagrangian tori

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic manifolds (general theory) (53D05) Grassmannians, Schubert varieties, flag manifolds (14M15) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50)

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Monotonic Lagrangian tori of standard and nonstandard types in toric and pseudotoric Fano varieties ⋮ Mironov Lagrangian cycles in algebraic varieties

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