The restricted Siegel disc as coadjoint orbit

DOI10.1007/978-3-031-62407-0_6MaRDI QIDQ6611815

Tudor S. Ratiu, Alice Barbara Tumpach, François Gay-Balmaz

Publication date: 27 September 2024

zbMATH Keywords

symplectic groupcoadjoint orbitsuniversal Teichmüller spaceSiegel discperiod mapping

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Poisson manifolds; Poisson groupoids and algebroids (53D17) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Hamiltonian reduction by stages
• Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• An example of Banach and Hilbert manifold: the universal Teichmüller space

Related Items (1)

Geometry of integrable systems related to the restricted Grassmannian

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