منابع مشابه
Cohomology rings of symplectic cuts
The “symplectic cut” construction [Le] produces, from a symplectic manifold M with a Hamiltonian circle action, two symplectic orbifolds C − and C+. We compute the rational cohomology ring of C+ in terms of those of M and C − . 1 Statement of the results Let M be a symplectic n-manifold endowed with an Hamiltonian S1-action with moment map f : M → R. Suppose that 0 is a regular value of f and c...
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The recently proposed projection quantization, which is a method to quantize particular subspaces of systems with known quantum theory, is shown to yield a genuine quantization in several cases. This may be infered from exact results established within symplectic cutting.
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In this paper we extend the results of Kirwan et alii on convexity properties of the moment map for Hamiltonian group actions, and on the connectedness of the fibers of the moment map, to the case of non-compact orbifolds. Our motivation is twofold. First, the category of orbifolds is important in symplectic geometry because, generically, the symplectic quotient of a symplectic manifold is an o...
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Type two cuts, bad cuts and very bad cuts are introduced in [KL] for studying the relationship between Loeb measure and U-topology of a hyper nite time line in an !1-saturated nonstandard universe. The questions concerning the existence of those cuts are asked there. In this paper we answer, fully or partially, some of those questions by showing that: (1) type-two cuts exist, (2) the @1-isomorp...
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Let V be a non-degenerate symplectic space of dimension 2n over the field F and for a natural number l < n denote by Cl(V ) the incidence geometry whose points are the totally isotropic l-dimensional subspaces of V . Two points U, W of Cl (V ) will be collinear when W ⊂ U⊥ and dim(U ∩ W ) = l − 1 and then the line on U and W will consist of all the l-dimensional subspaces of U + W which contain...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1995
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1995.v2.n3.a2