Adapted complex structures and the geodesic flow

DOI10.1007/s00208-010-0564-9zbMath1228.53097arXiv0811.3083OpenAlexW2128428804WikidataQ125260097 ScholiaQ125260097MaRDI QIDQ540430

Brian C. Hall, William D. Kirwin

Publication date: 3 June 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3083

zbMATH Keywords

adapted complex structuresimaginary-time geodesic flow

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Kähler manifolds (32Q15) Geometric quantization (53D50) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (11)

Quantization of compact Riemannian symmetric spaces ⋮ Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds ⋮ Coherent state transforms and the Mackey-Stone-Von Neumann theorem ⋮ Complex structures adapted to magnetic flows ⋮ Partial coherent state transforms, \(G\times T\)-invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups ⋮ Complex time evolution in geometric quantization and generalized coherent state transforms ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Holomorphic path integrals in tangent space for flat manifolds ⋮ Segal-Bargmann transforms from hyperbolic Hamiltonians ⋮ A new approximation method for geodesics on the space of Kähler metrics ⋮ The complex-time Segal-Bargmann transform

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