On Complexified Analytic Hamiltonian Flows and Geodesics on the Space of Kähler Metrics

DOI10.1093/imrn/rnv004zbMath1333.58003arXiv1310.4025OpenAlexW1989349970MaRDI QIDQ3451044

João Pedro Vidal Nunes, José M. Mourão

Publication date: 10 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4025

zbMATH Keywords

complexificationsymplectic manifoldspace of Kähler metricsprequantizationspace of metricscomplexified Hamiltonian flowsspace of complex structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Geometric quantization (53D50) Real-analytic and Nash manifolds (58A07) Manifolds of metrics (especially Riemannian) (58D17) Real-analytic manifolds, real-analytic spaces (32C05)

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Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds ⋮ Partial coherent state transforms, \(G\times T\)-invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups ⋮ Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Segal-Bargmann transforms from hyperbolic Hamiltonians ⋮ A new approximation method for geodesics on the space of Kähler metrics

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