Topology of symplectic torus actions with symplectic orbits
نویسندگان
چکیده
منابع مشابه
Topology of symplectic torus actions with symplectic orbits
We give a concise overview of the classification theory of symplectic manifolds equipped with torus actions for which the orbits are symplectic (this is equivalent to the existence of a symplectic principal orbit), and apply this theory to study the structure of the leaf space induced by the action. In particular we show that if M is a symplectic manifold on which a torus T acts effectively wit...
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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 invari-ants of the topology of the mani...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2010
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-010-0028-5