Displaying similar documents to “Formal geometric quantization”

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 T on a compact connected symplectic manifold ( M , σ ) when some, hence every, principal orbit is a coisotropic submanifold of ( M , σ ) . 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...

Proof of the Knop conjecture

Ivan V. Losev (2009)

Annales de l’institut Fourier

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In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.