Phase transition of Kähler-Einstein metrics via moment maps

DOI10.1007/S40304-018-0153-XzbMath1431.53079OpenAlexW2889110186MaRDI QIDQ1757191

Xianqiang Yang

Publication date: 2 January 2019

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-018-0153-x

zbMATH Keywords

phase transitionmoment mapKähler-Einstein space

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20)

Cites Work

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• Rotationally symmetric pseudo-Kähler metrics of constant scalar curvatures
• The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds
• Counter-examples to the generalized positive action conjecture
• Convexity properties of the moment mapping
• Hamiltonian constructions of Kähler-Einstein metrics and Kähler metrics of constant scalar curvature
• Kaehler structures on toric varieties
• Moment maps on symplectic cones
• Scalar curvature and stability of toric varieties.
• A note on extremal metrics of non-constant scalar curvature
• Convexity properties of the moment map for certain non-compact manifolds
• Kähler metrics of constant scalar curvature on bundles over \({\mathbb{C}}{\mathbb{P}}_{n-1}\)
• Contact toric manifolds
• Rotationally symmetric pseudo-Kähler-Einstein metrics
• Hamiltoniens périodiques et images convexes de l'application moment
• Convexity and Commuting Hamiltonians
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• Existence of Gradient Kahler-Ricci Solitons

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