Reduced phase space and toric variety coordinatizations of Delzant spaces

DOI10.1017/S0305004108002077zbMath1163.53347arXiv0704.0430OpenAlexW2963873848MaRDI QIDQ3628720

Álvaro Pelayo, J. J. Duistermaat

Publication date: 20 May 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0430

zbMATH Keywords

toric varietyreduced phase spaceDelzant polytopeDelzant space

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Momentum maps; symplectic reduction (53D20)

Related Items (9)

A Note on Extremal Toric Almost Kähler Metrics ⋮ Hamiltonian and symplectic symmetries: An introduction ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Classifying toric and semitoric fans by lifting equations from \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Minimal models of compact symplectic semitoric manifolds ⋮ Moduli spaces of toric manifolds ⋮ Stability functions ⋮ Symplectic theory of completely integrable Hamiltonian systems ⋮ Toric Kähler-Einstein metrics and convex compact polytopes

Cites Work

• Unnamed Item
• On the variation in the cohomology of the symplectic form of the reduced phase space
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
• Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds)
• Topology of spaces of equivariant symplectic embeddings
• THE GEOMETRY OF TORIC VARIETIES

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