Hyperkähler structures and infinite-dimensional Grassmannians

DOI10.1016/j.jfa.2006.05.019zbMath1124.58004arXivmath-ph/0511056OpenAlexW2153821874MaRDI QIDQ868929

Alice Barbara Tumpach

Publication date: 26 February 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511056

zbMATH Keywords

Banach manifoldssymplectic and hyper-Kähler quotients

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items

Geometric significance of Toeplitz kernels, Projective and Direct limits of Banach $G$ and tensor structures, Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian, Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits, On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits, On restricted diagonalization

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Infinite dimensional Lie algebras. An introduction
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Hyperkähler metrics and supersymmetry
• Reduction of symplectic manifolds with symmetry
• Plücker embedding of the Hilbert space Grassmannian and the CAR algebra
• Momentum maps and reduction in algebraic geometry
• Loop spaces as complex manifolds
• Differential geometry of Grassmannian embeddings of based loop groups
• On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
• Instantons and the geometry of the nilpotent variety
• On the complemented subspaces problem
• Integrability of analytic almost complex structures on Banach manifolds
• The geometry of the KdV equation
• Geometric Invariant Theory
• On the $\overline\partial$-equation in a Banach space
• Sur le théorème de Frobenius
• A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group
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