Moment maps and geometric invariant theory
Chris Woodward (2010)
Les cours du CIRM
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Displaying similar documents to “Singular reduction of generalized complex manifolds.”
Moment maps and geometric invariant theory
Moment maps and geometric invariant theory—Corrected version (October 2011)
Chris Woodward (2010)
Les cours du CIRM
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Induced differential forms on manifolds of functions
Cornelia Vizman (2011)
Archivum Mathematicum
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Differential forms on the Fréchet manifold of smooth functions on a compact -dimensional manifold can be obtained in a natural way from pairs of differential forms on and by the hat pairing. Special cases are the transgression map (hat pairing with a constant function) and the bar map (hat pairing with a volume form). We develop a hat calculus similar to the tilda calculus for non-linear Grassmannians [6].
4-dimensional c-symplectic -manifolds with non-empty fixed point set need not be c-Hamiltonian
Akio Hattori (1998)
Banach Center Publications
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The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
Geometric structures on spaces of weighted submanifolds.
Lee, Brian (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Symplectic torus actions with coisotropic principal orbits
Johannes Jisse Duistermaat, Alvaro Pelayo (2007)
Annales de l’institut Fourier
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In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic submanifold of . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form. In order to deal with symplectic actions...